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Finding the Third Proportional to 22,703,614.35 and 48,434,310.07

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Solution

The third proportional to 22,703,614.35 and 48,434,310.07 is: 103,326,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,703,614.35 : 48,434,310.07 = 48,434,310.07 : x
  2. Step 2: Convert to fraction form
    22,703,614.35/48,434,310.07 = 48,434,310.07/x
  3. Step 3: Cross multiply
    22,703,614.35x = 48,434,310.07 × 48,434,310.07
  4. Step 4: Simplify right side
    22,703,614.35x = 2,345,882,391,987,126.50
  5. Step 5: Solve for x
    x = 2,345,882,391,987,126.50/22,703,614.35
  6. Step 6: Final answer
    x = 103,326,384.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.