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Finding the Third Proportional to 10,487,416 and 22,432,184

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Solution

The third proportional to 10,487,416 and 22,432,184 is: 47,981,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487,416 : 22,432,184 = 22,432,184 : x
  2. Step 2: Convert to fraction form
    10,487,416/22,432,184 = 22,432,184/x
  3. Step 3: Cross multiply
    10,487,416x = 22,432,184 × 22,432,184
  4. Step 4: Simplify right side
    10,487,416x = 503,202,879,009,856
  5. Step 5: Solve for x
    x = 503,202,879,009,856/10,487,416
  6. Step 6: Final answer
    x = 47,981,588.51

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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.