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Finding the Third Proportional to 2,757,335,333,803.60 and 6,034,092,203,002.40

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Solution

The third proportional to 2,757,335,333,803.60 and 6,034,092,203,002.40 is: 13,204,875,108,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757,335,333,803.60 : 6,034,092,203,002.40 = 6,034,092,203,002.40 : x
  2. Step 2: Convert to fraction form
    2,757,335,333,803.60/6,034,092,203,002.40 = 6,034,092,203,002.40/x
  3. Step 3: Cross multiply
    2,757,335,333,803.60x = 6,034,092,203,002.40 × 6,034,092,203,002.40
  4. Step 4: Simplify right side
    2,757,335,333,803.60x = 36,410,268,714,334,363,228,045,312
  5. Step 5: Solve for x
    x = 36,410,268,714,334,363,228,045,312/2,757,335,333,803.60
  6. Step 6: Final answer
    x = 13,204,875,108,211.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.