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Finding the Third Proportional to 10,413,866 and 22,426,186

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Solution

The third proportional to 10,413,866 and 22,426,186 is: 48,294,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413,866 : 22,426,186 = 22,426,186 : x
  2. Step 2: Convert to fraction form
    10,413,866/22,426,186 = 22,426,186/x
  3. Step 3: Cross multiply
    10,413,866x = 22,426,186 × 22,426,186
  4. Step 4: Simplify right side
    10,413,866x = 502,933,818,506,596
  5. Step 5: Solve for x
    x = 502,933,818,506,596/10,413,866
  6. Step 6: Final answer
    x = 48,294,631.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.