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Finding the Third Proportional to 4,376,684 and 7,032,080

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Solution

The third proportional to 4,376,684 and 7,032,080 is: 11,298,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376,684 : 7,032,080 = 7,032,080 : x
  2. Step 2: Convert to fraction form
    4,376,684/7,032,080 = 7,032,080/x
  3. Step 3: Cross multiply
    4,376,684x = 7,032,080 × 7,032,080
  4. Step 4: Simplify right side
    4,376,684x = 49,450,149,126,400
  5. Step 5: Solve for x
    x = 49,450,149,126,400/4,376,684
  6. Step 6: Final answer
    x = 11,298,542.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.