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Finding the Third Proportional to 10,489,566 and 15,830,733

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Solution

The third proportional to 10,489,566 and 15,830,733 is: 23,891,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489,566 : 15,830,733 = 15,830,733 : x
  2. Step 2: Convert to fraction form
    10,489,566/15,830,733 = 15,830,733/x
  3. Step 3: Cross multiply
    10,489,566x = 15,830,733 × 15,830,733
  4. Step 4: Simplify right side
    10,489,566x = 250,612,107,317,289
  5. Step 5: Solve for x
    x = 250,612,107,317,289/10,489,566
  6. Step 6: Final answer
    x = 23,891,561.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.