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Finding the Third Proportional to 22,497,076.69 and 48,182,753.81

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Solution

The third proportional to 22,497,076.69 and 48,182,753.81 is: 103,194,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497,076.69 : 48,182,753.81 = 48,182,753.81 : x
  2. Step 2: Convert to fraction form
    22,497,076.69/48,182,753.81 = 48,182,753.81/x
  3. Step 3: Cross multiply
    22,497,076.69x = 48,182,753.81 × 48,182,753.81
  4. Step 4: Simplify right side
    22,497,076.69x = 2,321,577,764,955,983.50
  5. Step 5: Solve for x
    x = 2,321,577,764,955,983.50/22,497,076.69
  6. Step 6: Final answer
    x = 103,194,641.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.