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Finding the Third Proportional to 22,808,890.78 and 47,234,555.47

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Solution

The third proportional to 22,808,890.78 and 47,234,555.47 is: 97,817,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,808,890.78 : 47,234,555.47 = 47,234,555.47 : x
  2. Step 2: Convert to fraction form
    22,808,890.78/47,234,555.47 = 47,234,555.47/x
  3. Step 3: Cross multiply
    22,808,890.78x = 47,234,555.47 × 47,234,555.47
  4. Step 4: Simplify right side
    22,808,890.78x = 2,231,103,230,699,416.50
  5. Step 5: Solve for x
    x = 2,231,103,230,699,416.50/22,808,890.78
  6. Step 6: Final answer
    x = 97,817,261.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.