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Finding the Third Proportional to 317,635,642.69 and 466,762,969.55

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Solution

The third proportional to 317,635,642.69 and 466,762,969.55 is: 685,904,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,635,642.69 : 466,762,969.55 = 466,762,969.55 : x
  2. Step 2: Convert to fraction form
    317,635,642.69/466,762,969.55 = 466,762,969.55/x
  3. Step 3: Cross multiply
    317,635,642.69x = 466,762,969.55 × 466,762,969.55
  4. Step 4: Simplify right side
    317,635,642.69x = 217,867,669,740,221,632
  5. Step 5: Solve for x
    x = 217,867,669,740,221,632/317,635,642.69
  6. Step 6: Final answer
    x = 685,904,352.22

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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.