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Finding the Third Proportional to 6,198,657 and 9,773,386

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Solution

The third proportional to 6,198,657 and 9,773,386 is: 15,409,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198,657 : 9,773,386 = 9,773,386 : x
  2. Step 2: Convert to fraction form
    6,198,657/9,773,386 = 9,773,386/x
  3. Step 3: Cross multiply
    6,198,657x = 9,773,386 × 9,773,386
  4. Step 4: Simplify right side
    6,198,657x = 95,519,073,904,996
  5. Step 5: Solve for x
    x = 95,519,073,904,996/6,198,657
  6. Step 6: Final answer
    x = 15,409,640.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.