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Finding the Third Proportional to 14,001,680 and 21,964,498

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Solution

The third proportional to 14,001,680 and 21,964,498 is: 34,455,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001,680 : 21,964,498 = 21,964,498 : x
  2. Step 2: Convert to fraction form
    14,001,680/21,964,498 = 21,964,498/x
  3. Step 3: Cross multiply
    14,001,680x = 21,964,498 × 21,964,498
  4. Step 4: Simplify right side
    14,001,680x = 482,439,172,392,004
  5. Step 5: Solve for x
    x = 482,439,172,392,004/14,001,680
  6. Step 6: Final answer
    x = 34,455,806.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.