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Finding the Third Proportional to 10,914,498 and 23,765,334

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Solution

The third proportional to 10,914,498 and 23,765,334 is: 51,746,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914,498 : 23,765,334 = 23,765,334 : x
  2. Step 2: Convert to fraction form
    10,914,498/23,765,334 = 23,765,334/x
  3. Step 3: Cross multiply
    10,914,498x = 23,765,334 × 23,765,334
  4. Step 4: Simplify right side
    10,914,498x = 564,791,100,131,556
  5. Step 5: Solve for x
    x = 564,791,100,131,556/10,914,498
  6. Step 6: Final answer
    x = 51,746,869.18

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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.