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Finding the Third Proportional to 10,516,719.16 and 15,733,040.93

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Solution

The third proportional to 10,516,719.16 and 15,733,040.93 is: 23,536,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516,719.16 : 15,733,040.93 = 15,733,040.93 : x
  2. Step 2: Convert to fraction form
    10,516,719.16/15,733,040.93 = 15,733,040.93/x
  3. Step 3: Cross multiply
    10,516,719.16x = 15,733,040.93 × 15,733,040.93
  4. Step 4: Simplify right side
    10,516,719.16x = 247,528,576,987,401.97
  5. Step 5: Solve for x
    x = 247,528,576,987,401.97/10,516,719.16
  6. Step 6: Final answer
    x = 23,536,672.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.