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Finding the Third Proportional to 9,466,314 and 20,734,545

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Solution

The third proportional to 9,466,314 and 20,734,545 is: 45,415,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466,314 : 20,734,545 = 20,734,545 : x
  2. Step 2: Convert to fraction form
    9,466,314/20,734,545 = 20,734,545/x
  3. Step 3: Cross multiply
    9,466,314x = 20,734,545 × 20,734,545
  4. Step 4: Simplify right side
    9,466,314x = 429,921,356,357,025
  5. Step 5: Solve for x
    x = 429,921,356,357,025/9,466,314
  6. Step 6: Final answer
    x = 45,415,919.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.