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Finding the Third Proportional to 6,498,052.50 and 10,102,459.50

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Solution

The third proportional to 6,498,052.50 and 10,102,459.50 is: 15,706,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,052.50 : 10,102,459.50 = 10,102,459.50 : x
  2. Step 2: Convert to fraction form
    6,498,052.50/10,102,459.50 = 10,102,459.50/x
  3. Step 3: Cross multiply
    6,498,052.50x = 10,102,459.50 × 10,102,459.50
  4. Step 4: Simplify right side
    6,498,052.50x = 102,059,687,949,140.25
  5. Step 5: Solve for x
    x = 102,059,687,949,140.25/6,498,052.50
  6. Step 6: Final answer
    x = 15,706,196.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.