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Finding the Third Proportional to 4,057,464 and 8,764,656

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Solution

The third proportional to 4,057,464 and 8,764,656 is: 18,932,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057,464 : 8,764,656 = 8,764,656 : x
  2. Step 2: Convert to fraction form
    4,057,464/8,764,656 = 8,764,656/x
  3. Step 3: Cross multiply
    4,057,464x = 8,764,656 × 8,764,656
  4. Step 4: Simplify right side
    4,057,464x = 76,819,194,798,336
  5. Step 5: Solve for x
    x = 76,819,194,798,336/4,057,464
  6. Step 6: Final answer
    x = 18,932,809.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.