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Finding the Third Proportional to 10,267,642 and 15,369,479

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Solution

The third proportional to 10,267,642 and 15,369,479 is: 23,006,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267,642 : 15,369,479 = 15,369,479 : x
  2. Step 2: Convert to fraction form
    10,267,642/15,369,479 = 15,369,479/x
  3. Step 3: Cross multiply
    10,267,642x = 15,369,479 × 15,369,479
  4. Step 4: Simplify right side
    10,267,642x = 236,220,884,731,441
  5. Step 5: Solve for x
    x = 236,220,884,731,441/10,267,642
  6. Step 6: Final answer
    x = 23,006,342.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.