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Finding the Third Proportional to 3,097,807.50 and 6,564,867

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Solution

The third proportional to 3,097,807.50 and 6,564,867 is: 13,912,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,807.50 : 6,564,867 = 6,564,867 : x
  2. Step 2: Convert to fraction form
    3,097,807.50/6,564,867 = 6,564,867/x
  3. Step 3: Cross multiply
    3,097,807.50x = 6,564,867 × 6,564,867
  4. Step 4: Simplify right side
    3,097,807.50x = 43,097,478,727,689
  5. Step 5: Solve for x
    x = 43,097,478,727,689/3,097,807.50
  6. Step 6: Final answer
    x = 13,912,252.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.