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Finding the Third Proportional to 745,352,382 and 1,614,923,425

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Solution

The third proportional to 745,352,382 and 1,614,923,425 is: 3,498,986,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,352,382 : 1,614,923,425 = 1,614,923,425 : x
  2. Step 2: Convert to fraction form
    745,352,382/1,614,923,425 = 1,614,923,425/x
  3. Step 3: Cross multiply
    745,352,382x = 1,614,923,425 × 1,614,923,425
  4. Step 4: Simplify right side
    745,352,382x = 2,607,977,668,613,730,816
  5. Step 5: Solve for x
    x = 2,607,977,668,613,730,816/745,352,382
  6. Step 6: Final answer
    x = 3,498,986,159.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.