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Finding the Third Proportional to 10,229,206.50 and 21,876,814.13

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Solution

The third proportional to 10,229,206.50 and 21,876,814.13 is: 46,787,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229,206.50 : 21,876,814.13 = 21,876,814.13 : x
  2. Step 2: Convert to fraction form
    10,229,206.50/21,876,814.13 = 21,876,814.13/x
  3. Step 3: Cross multiply
    10,229,206.50x = 21,876,814.13 × 21,876,814.13
  4. Step 4: Simplify right side
    10,229,206.50x = 478,594,996,259,799.50
  5. Step 5: Solve for x
    x = 478,594,996,259,799.50/10,229,206.50
  6. Step 6: Final answer
    x = 46,787,108.68

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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.