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Finding the Third Proportional to 2,681,664 and 5,864,656.50

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Solution

The third proportional to 2,681,664 and 5,864,656.50 is: 12,825,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681,664 : 5,864,656.50 = 5,864,656.50 : x
  2. Step 2: Convert to fraction form
    2,681,664/5,864,656.50 = 5,864,656.50/x
  3. Step 3: Cross multiply
    2,681,664x = 5,864,656.50 × 5,864,656.50
  4. Step 4: Simplify right side
    2,681,664x = 34,394,195,862,992.25
  5. Step 5: Solve for x
    x = 34,394,195,862,992.25/2,681,664
  6. Step 6: Final answer
    x = 12,825,691.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.