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Finding the Third Proportional to 10,423,256 and 15,716,911

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Solution

The third proportional to 10,423,256 and 15,716,911 is: 23,699,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423,256 : 15,716,911 = 15,716,911 : x
  2. Step 2: Convert to fraction form
    10,423,256/15,716,911 = 15,716,911/x
  3. Step 3: Cross multiply
    10,423,256x = 15,716,911 × 15,716,911
  4. Step 4: Simplify right side
    10,423,256x = 247,021,291,381,921
  5. Step 5: Solve for x
    x = 247,021,291,381,921/10,423,256
  6. Step 6: Final answer
    x = 23,699,052.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.