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Finding the Third Proportional to 275,819,442.75 and 411,337,315.13

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Solution

The third proportional to 275,819,442.75 and 411,337,315.13 is: 613,438,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,819,442.75 : 411,337,315.13 = 411,337,315.13 : x
  2. Step 2: Convert to fraction form
    275,819,442.75/411,337,315.13 = 411,337,315.13/x
  3. Step 3: Cross multiply
    275,819,442.75x = 411,337,315.13 × 411,337,315.13
  4. Step 4: Simplify right side
    275,819,442.75x = 169,198,386,814,243,552
  5. Step 5: Solve for x
    x = 169,198,386,814,243,552/275,819,442.75
  6. Step 6: Final answer
    x = 613,438,940.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.