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Finding the Third Proportional to 9,956,983.85 and 15,377,728.18

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Solution

The third proportional to 9,956,983.85 and 15,377,728.18 is: 23,749,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956,983.85 : 15,377,728.18 = 15,377,728.18 : x
  2. Step 2: Convert to fraction form
    9,956,983.85/15,377,728.18 = 15,377,728.18/x
  3. Step 3: Cross multiply
    9,956,983.85x = 15,377,728.18 × 15,377,728.18
  4. Step 4: Simplify right side
    9,956,983.85x = 236,474,524,088,501.22
  5. Step 5: Solve for x
    x = 236,474,524,088,501.22/9,956,983.85
  6. Step 6: Final answer
    x = 23,749,614.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.