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Finding the Third Proportional to 22,002,648.75 and 47,791,750.50

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Solution

The third proportional to 22,002,648.75 and 47,791,750.50 is: 103,808,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002,648.75 : 47,791,750.50 = 47,791,750.50 : x
  2. Step 2: Convert to fraction form
    22,002,648.75/47,791,750.50 = 47,791,750.50/x
  3. Step 3: Cross multiply
    22,002,648.75x = 47,791,750.50 × 47,791,750.50
  4. Step 4: Simplify right side
    22,002,648.75x = 2,284,051,415,854,250
  5. Step 5: Solve for x
    x = 2,284,051,415,854,250/22,002,648.75
  6. Step 6: Final answer
    x = 103,808,020.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.