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Finding the Third Proportional to 2,884,032 and 6,676,344

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Solution

The third proportional to 2,884,032 and 6,676,344 is: 15,455,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884,032 : 6,676,344 = 6,676,344 : x
  2. Step 2: Convert to fraction form
    2,884,032/6,676,344 = 6,676,344/x
  3. Step 3: Cross multiply
    2,884,032x = 6,676,344 × 6,676,344
  4. Step 4: Simplify right side
    2,884,032x = 44,573,569,206,336
  5. Step 5: Solve for x
    x = 44,573,569,206,336/2,884,032
  6. Step 6: Final answer
    x = 15,455,296.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.