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Finding the Third Proportional to 10,385,731.50 and 24,041,088

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Solution

The third proportional to 10,385,731.50 and 24,041,088 is: 55,650,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,731.50 : 24,041,088 = 24,041,088 : x
  2. Step 2: Convert to fraction form
    10,385,731.50/24,041,088 = 24,041,088/x
  3. Step 3: Cross multiply
    10,385,731.50x = 24,041,088 × 24,041,088
  4. Step 4: Simplify right side
    10,385,731.50x = 577,973,912,223,744
  5. Step 5: Solve for x
    x = 577,973,912,223,744/10,385,731.50
  6. Step 6: Final answer
    x = 55,650,765.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.