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Finding the Third Proportional to 10,232,359.50 and 22,013,115

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Solution

The third proportional to 10,232,359.50 and 22,013,115 is: 47,357,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,359.50 : 22,013,115 = 22,013,115 : x
  2. Step 2: Convert to fraction form
    10,232,359.50/22,013,115 = 22,013,115/x
  3. Step 3: Cross multiply
    10,232,359.50x = 22,013,115 × 22,013,115
  4. Step 4: Simplify right side
    10,232,359.50x = 484,577,232,003,225
  5. Step 5: Solve for x
    x = 484,577,232,003,225/10,232,359.50
  6. Step 6: Final answer
    x = 47,357,330.63

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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.