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Finding the Third Proportional to 7,704,460 and 16,692,872

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Solution

The third proportional to 7,704,460 and 16,692,872 is: 36,167,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704,460 : 16,692,872 = 16,692,872 : x
  2. Step 2: Convert to fraction form
    7,704,460/16,692,872 = 16,692,872/x
  3. Step 3: Cross multiply
    7,704,460x = 16,692,872 × 16,692,872
  4. Step 4: Simplify right side
    7,704,460x = 278,651,975,608,384
  5. Step 5: Solve for x
    x = 278,651,975,608,384/7,704,460
  6. Step 6: Final answer
    x = 36,167,619.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.