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Finding the Third Proportional to 10,238,654 and 22,119,340

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Solution

The third proportional to 10,238,654 and 22,119,340 is: 47,786,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238,654 : 22,119,340 = 22,119,340 : x
  2. Step 2: Convert to fraction form
    10,238,654/22,119,340 = 22,119,340/x
  3. Step 3: Cross multiply
    10,238,654x = 22,119,340 × 22,119,340
  4. Step 4: Simplify right side
    10,238,654x = 489,265,202,035,600
  5. Step 5: Solve for x
    x = 489,265,202,035,600/10,238,654
  6. Step 6: Final answer
    x = 47,786,086.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.