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Finding the Third Proportional to 2,864,235,348 and 6,169,194,936

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Solution

The third proportional to 2,864,235,348 and 6,169,194,936 is: 13,287,653,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,235,348 : 6,169,194,936 = 6,169,194,936 : x
  2. Step 2: Convert to fraction form
    2,864,235,348/6,169,194,936 = 6,169,194,936/x
  3. Step 3: Cross multiply
    2,864,235,348x = 6,169,194,936 × 6,169,194,936
  4. Step 4: Simplify right side
    2,864,235,348x = 38,058,966,158,368,047,104
  5. Step 5: Solve for x
    x = 38,058,966,158,368,047,104/2,864,235,348
  6. Step 6: Final answer
    x = 13,287,653,259.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.