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Finding the Third Proportional to 15,676,784 and 23,751,352

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Solution

The third proportional to 15,676,784 and 23,751,352 is: 35,984,850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676,784 : 23,751,352 = 23,751,352 : x
  2. Step 2: Convert to fraction form
    15,676,784/23,751,352 = 23,751,352/x
  3. Step 3: Cross multiply
    15,676,784x = 23,751,352 × 23,751,352
  4. Step 4: Simplify right side
    15,676,784x = 564,126,721,827,904
  5. Step 5: Solve for x
    x = 564,126,721,827,904/15,676,784
  6. Step 6: Final answer
    x = 35,984,850.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.