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Finding the Third Proportional to 3,071,018.81 and 6,645,700.69

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Solution

The third proportional to 3,071,018.81 and 6,645,700.69 is: 14,381,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071,018.81 : 6,645,700.69 = 6,645,700.69 : x
  2. Step 2: Convert to fraction form
    3,071,018.81/6,645,700.69 = 6,645,700.69/x
  3. Step 3: Cross multiply
    3,071,018.81x = 6,645,700.69 × 6,645,700.69
  4. Step 4: Simplify right side
    3,071,018.81x = 44,165,337,627,837.97
  5. Step 5: Solve for x
    x = 44,165,337,627,837.97/3,071,018.81
  6. Step 6: Final answer
    x = 14,381,330.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.