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Finding the Third Proportional to 10,062,047 and 15,690,939.50

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Solution

The third proportional to 10,062,047 and 15,690,939.50 is: 24,468,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062,047 : 15,690,939.50 = 15,690,939.50 : x
  2. Step 2: Convert to fraction form
    10,062,047/15,690,939.50 = 15,690,939.50/x
  3. Step 3: Cross multiply
    10,062,047x = 15,690,939.50 × 15,690,939.50
  4. Step 4: Simplify right side
    10,062,047x = 246,205,582,392,660.25
  5. Step 5: Solve for x
    x = 246,205,582,392,660.25/10,062,047
  6. Step 6: Final answer
    x = 24,468,737.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.