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Finding the Third Proportional to 10,241,185.50 and 22,000,473

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Solution

The third proportional to 10,241,185.50 and 22,000,473 is: 47,262,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241,185.50 : 22,000,473 = 22,000,473 : x
  2. Step 2: Convert to fraction form
    10,241,185.50/22,000,473 = 22,000,473/x
  3. Step 3: Cross multiply
    10,241,185.50x = 22,000,473 × 22,000,473
  4. Step 4: Simplify right side
    10,241,185.50x = 484,020,812,223,729
  5. Step 5: Solve for x
    x = 484,020,812,223,729/10,241,185.50
  6. Step 6: Final answer
    x = 47,262,185.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.