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Finding the Third Proportional to 4,289,044.92 and 9,441,681.47

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Solution

The third proportional to 4,289,044.92 and 9,441,681.47 is: 20,784,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289,044.92 : 9,441,681.47 = 9,441,681.47 : x
  2. Step 2: Convert to fraction form
    4,289,044.92/9,441,681.47 = 9,441,681.47/x
  3. Step 3: Cross multiply
    4,289,044.92x = 9,441,681.47 × 9,441,681.47
  4. Step 4: Simplify right side
    4,289,044.92x = 89,145,348,957,337.16
  5. Step 5: Solve for x
    x = 89,145,348,957,337.16/4,289,044.92
  6. Step 6: Final answer
    x = 20,784,428.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.