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Finding the Third Proportional to 781,934,668 and 1,147,339,291.50

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Solution

The third proportional to 781,934,668 and 1,147,339,291.50 is: 1,683,500,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,934,668 : 1,147,339,291.50 = 1,147,339,291.50 : x
  2. Step 2: Convert to fraction form
    781,934,668/1,147,339,291.50 = 1,147,339,291.50/x
  3. Step 3: Cross multiply
    781,934,668x = 1,147,339,291.50 × 1,147,339,291.50
  4. Step 4: Simplify right side
    781,934,668x = 1,316,387,449,819,721,984
  5. Step 5: Solve for x
    x = 1,316,387,449,819,721,984/781,934,668
  6. Step 6: Final answer
    x = 1,683,500,557.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.