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Finding the Third Proportional to 5,843,343 and 8,732,301

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Solution

The third proportional to 5,843,343 and 8,732,301 is: 13,049,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843,343 : 8,732,301 = 8,732,301 : x
  2. Step 2: Convert to fraction form
    5,843,343/8,732,301 = 8,732,301/x
  3. Step 3: Cross multiply
    5,843,343x = 8,732,301 × 8,732,301
  4. Step 4: Simplify right side
    5,843,343x = 76,253,080,754,601
  5. Step 5: Solve for x
    x = 76,253,080,754,601/5,843,343
  6. Step 6: Final answer
    x = 13,049,564.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.