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Finding the Third Proportional to 22,021,237.13 and 47,230,573.50

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Solution

The third proportional to 22,021,237.13 and 47,230,573.50 is: 101,298,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,021,237.13 : 47,230,573.50 = 47,230,573.50 : x
  2. Step 2: Convert to fraction form
    22,021,237.13/47,230,573.50 = 47,230,573.50/x
  3. Step 3: Cross multiply
    22,021,237.13x = 47,230,573.50 × 47,230,573.50
  4. Step 4: Simplify right side
    22,021,237.13x = 2,230,727,073,138,902.25
  5. Step 5: Solve for x
    x = 2,230,727,073,138,902.25/22,021,237.13
  6. Step 6: Final answer
    x = 101,298,898.90

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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.