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Finding the Third Proportional to 47,145,918 and 70,428,519

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Solution

The third proportional to 47,145,918 and 70,428,519 is: 105,209,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145,918 : 70,428,519 = 70,428,519 : x
  2. Step 2: Convert to fraction form
    47,145,918/70,428,519 = 70,428,519/x
  3. Step 3: Cross multiply
    47,145,918x = 70,428,519 × 70,428,519
  4. Step 4: Simplify right side
    47,145,918x = 4,960,176,288,533,361
  5. Step 5: Solve for x
    x = 4,960,176,288,533,361/47,145,918
  6. Step 6: Final answer
    x = 105,209,029.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.