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Finding the Third Proportional to 9,956,827.13 and 15,377,424.75

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Solution

The third proportional to 9,956,827.13 and 15,377,424.75 is: 23,749,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956,827.13 : 15,377,424.75 = 15,377,424.75 : x
  2. Step 2: Convert to fraction form
    9,956,827.13/15,377,424.75 = 15,377,424.75/x
  3. Step 3: Cross multiply
    9,956,827.13x = 15,377,424.75 × 15,377,424.75
  4. Step 4: Simplify right side
    9,956,827.13x = 236,465,191,941,912.56
  5. Step 5: Solve for x
    x = 236,465,191,941,912.56/9,956,827.13
  6. Step 6: Final answer
    x = 23,749,050.67

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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.