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Finding the Third Proportional to 10,577,734.50 and 22,916,157

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Solution

The third proportional to 10,577,734.50 and 22,916,157 is: 49,646,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577,734.50 : 22,916,157 = 22,916,157 : x
  2. Step 2: Convert to fraction form
    10,577,734.50/22,916,157 = 22,916,157/x
  3. Step 3: Cross multiply
    10,577,734.50x = 22,916,157 × 22,916,157
  4. Step 4: Simplify right side
    10,577,734.50x = 525,150,251,648,649
  5. Step 5: Solve for x
    x = 525,150,251,648,649/10,577,734.50
  6. Step 6: Final answer
    x = 49,646,760.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.