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Finding the Third Proportional to 709,424,934 and 1,657,536,828

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Solution

The third proportional to 709,424,934 and 1,657,536,828 is: 3,872,754,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,424,934 : 1,657,536,828 = 1,657,536,828 : x
  2. Step 2: Convert to fraction form
    709,424,934/1,657,536,828 = 1,657,536,828/x
  3. Step 3: Cross multiply
    709,424,934x = 1,657,536,828 × 1,657,536,828
  4. Step 4: Simplify right side
    709,424,934x = 2,747,428,336,176,301,568
  5. Step 5: Solve for x
    x = 2,747,428,336,176,301,568/709,424,934
  6. Step 6: Final answer
    x = 3,872,754,120.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.