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Finding the Third Proportional to 10,385,734.50 and 24,041,097

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Solution

The third proportional to 10,385,734.50 and 24,041,097 is: 55,650,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,734.50 : 24,041,097 = 24,041,097 : x
  2. Step 2: Convert to fraction form
    10,385,734.50/24,041,097 = 24,041,097/x
  3. Step 3: Cross multiply
    10,385,734.50x = 24,041,097 × 24,041,097
  4. Step 4: Simplify right side
    10,385,734.50x = 577,974,344,963,409
  5. Step 5: Solve for x
    x = 577,974,344,963,409/10,385,734.50
  6. Step 6: Final answer
    x = 55,650,791.47

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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.