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Finding the Third Proportional to 10,221,309 and 22,516,623

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Solution

The third proportional to 10,221,309 and 22,516,623 is: 49,602,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221,309 : 22,516,623 = 22,516,623 : x
  2. Step 2: Convert to fraction form
    10,221,309/22,516,623 = 22,516,623/x
  3. Step 3: Cross multiply
    10,221,309x = 22,516,623 × 22,516,623
  4. Step 4: Simplify right side
    10,221,309x = 506,998,311,324,129
  5. Step 5: Solve for x
    x = 506,998,311,324,129/10,221,309
  6. Step 6: Final answer
    x = 49,602,092.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.