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Finding the Third Proportional to 10,614,756.38 and 23,216,871.38

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Solution

The third proportional to 10,614,756.38 and 23,216,871.38 is: 50,780,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614,756.38 : 23,216,871.38 = 23,216,871.38 : x
  2. Step 2: Convert to fraction form
    10,614,756.38/23,216,871.38 = 23,216,871.38/x
  3. Step 3: Cross multiply
    10,614,756.38x = 23,216,871.38 × 23,216,871.38
  4. Step 4: Simplify right side
    10,614,756.38x = 539,023,116,443,294.38
  5. Step 5: Solve for x
    x = 539,023,116,443,294.38/10,614,756.38
  6. Step 6: Final answer
    x = 50,780,545.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.