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Finding the Third Proportional to 4,672,074 and 10,358,700

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Solution

The third proportional to 4,672,074 and 10,358,700 is: 22,966,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672,074 : 10,358,700 = 10,358,700 : x
  2. Step 2: Convert to fraction form
    4,672,074/10,358,700 = 10,358,700/x
  3. Step 3: Cross multiply
    4,672,074x = 10,358,700 × 10,358,700
  4. Step 4: Simplify right side
    4,672,074x = 107,302,665,690,000
  5. Step 5: Solve for x
    x = 107,302,665,690,000/4,672,074
  6. Step 6: Final answer
    x = 22,966,816.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.