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Finding the Third Proportional to 3,415,464 and 7,337,466

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Solution

The third proportional to 3,415,464 and 7,337,466 is: 15,763,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415,464 : 7,337,466 = 7,337,466 : x
  2. Step 2: Convert to fraction form
    3,415,464/7,337,466 = 7,337,466/x
  3. Step 3: Cross multiply
    3,415,464x = 7,337,466 × 7,337,466
  4. Step 4: Simplify right side
    3,415,464x = 53,838,407,301,156
  5. Step 5: Solve for x
    x = 53,838,407,301,156/3,415,464
  6. Step 6: Final answer
    x = 15,763,131.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.