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Finding the Third Proportional to 1,170,186,780 and 2,437,229,220

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Solution

The third proportional to 1,170,186,780 and 2,437,229,220 is: 5,076,186,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,186,780 : 2,437,229,220 = 2,437,229,220 : x
  2. Step 2: Convert to fraction form
    1,170,186,780/2,437,229,220 = 2,437,229,220/x
  3. Step 3: Cross multiply
    1,170,186,780x = 2,437,229,220 × 2,437,229,220
  4. Step 4: Simplify right side
    1,170,186,780x = 5,940,086,270,821,808,128
  5. Step 5: Solve for x
    x = 5,940,086,270,821,808,128/1,170,186,780
  6. Step 6: Final answer
    x = 5,076,186,445.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.