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Finding the Third Proportional to 3,902,140 and 8,346,656

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Solution

The third proportional to 3,902,140 and 8,346,656 is: 17,853,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902,140 : 8,346,656 = 8,346,656 : x
  2. Step 2: Convert to fraction form
    3,902,140/8,346,656 = 8,346,656/x
  3. Step 3: Cross multiply
    3,902,140x = 8,346,656 × 8,346,656
  4. Step 4: Simplify right side
    3,902,140x = 69,666,666,382,336
  5. Step 5: Solve for x
    x = 69,666,666,382,336/3,902,140
  6. Step 6: Final answer
    x = 17,853,451.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.