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Finding the Third Proportional to 10,215,853 and 22,225,306

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Solution

The third proportional to 10,215,853 and 22,225,306 is: 48,352,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215,853 : 22,225,306 = 22,225,306 : x
  2. Step 2: Convert to fraction form
    10,215,853/22,225,306 = 22,225,306/x
  3. Step 3: Cross multiply
    10,215,853x = 22,225,306 × 22,225,306
  4. Step 4: Simplify right side
    10,215,853x = 493,964,226,793,636
  5. Step 5: Solve for x
    x = 493,964,226,793,636/10,215,853
  6. Step 6: Final answer
    x = 48,352,714.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.