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Finding the Third Proportional to 261,575,115 and 560,705,940

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Solution

The third proportional to 261,575,115 and 560,705,940 is: 1,201,915,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,575,115 : 560,705,940 = 560,705,940 : x
  2. Step 2: Convert to fraction form
    261,575,115/560,705,940 = 560,705,940/x
  3. Step 3: Cross multiply
    261,575,115x = 560,705,940 × 560,705,940
  4. Step 4: Simplify right side
    261,575,115x = 314,391,151,151,283,584
  5. Step 5: Solve for x
    x = 314,391,151,151,283,584/261,575,115
  6. Step 6: Final answer
    x = 1,201,915,370.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.