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Finding the Third Proportional to 6,164,586 and 9,817,659

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Solution

The third proportional to 6,164,586 and 9,817,659 is: 15,635,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,586 : 9,817,659 = 9,817,659 : x
  2. Step 2: Convert to fraction form
    6,164,586/9,817,659 = 9,817,659/x
  3. Step 3: Cross multiply
    6,164,586x = 9,817,659 × 9,817,659
  4. Step 4: Simplify right side
    6,164,586x = 96,386,428,240,281
  5. Step 5: Solve for x
    x = 96,386,428,240,281/6,164,586
  6. Step 6: Final answer
    x = 15,635,507.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.