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Finding the Third Proportional to 10,275,712 and 16,001,736

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Solution

The third proportional to 10,275,712 and 16,001,736 is: 24,918,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275,712 : 16,001,736 = 16,001,736 : x
  2. Step 2: Convert to fraction form
    10,275,712/16,001,736 = 16,001,736/x
  3. Step 3: Cross multiply
    10,275,712x = 16,001,736 × 16,001,736
  4. Step 4: Simplify right side
    10,275,712x = 256,055,555,013,696
  5. Step 5: Solve for x
    x = 256,055,555,013,696/10,275,712
  6. Step 6: Final answer
    x = 24,918,521.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.