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Finding the Third Proportional to 719,687,533 and 1,105,720,351.50

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Solution

The third proportional to 719,687,533 and 1,105,720,351.50 is: 1,698,817,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,687,533 : 1,105,720,351.50 = 1,105,720,351.50 : x
  2. Step 2: Convert to fraction form
    719,687,533/1,105,720,351.50 = 1,105,720,351.50/x
  3. Step 3: Cross multiply
    719,687,533x = 1,105,720,351.50 × 1,105,720,351.50
  4. Step 4: Simplify right side
    719,687,533x = 1,222,617,495,721,283,584
  5. Step 5: Solve for x
    x = 1,222,617,495,721,283,584/719,687,533
  6. Step 6: Final answer
    x = 1,698,817,111.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.