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Finding the Third Proportional to 10,232,344.50 and 22,013,085

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Solution

The third proportional to 10,232,344.50 and 22,013,085 is: 47,357,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,344.50 : 22,013,085 = 22,013,085 : x
  2. Step 2: Convert to fraction form
    10,232,344.50/22,013,085 = 22,013,085/x
  3. Step 3: Cross multiply
    10,232,344.50x = 22,013,085 × 22,013,085
  4. Step 4: Simplify right side
    10,232,344.50x = 484,575,911,217,225
  5. Step 5: Solve for x
    x = 484,575,911,217,225/10,232,344.50
  6. Step 6: Final answer
    x = 47,357,270.98

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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.