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Finding the Third Proportional to 31,421,916 and 48,766,833

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Solution

The third proportional to 31,421,916 and 48,766,833 is: 75,686,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,421,916 : 48,766,833 = 48,766,833 : x
  2. Step 2: Convert to fraction form
    31,421,916/48,766,833 = 48,766,833/x
  3. Step 3: Cross multiply
    31,421,916x = 48,766,833 × 48,766,833
  4. Step 4: Simplify right side
    31,421,916x = 2,378,204,000,849,889
  5. Step 5: Solve for x
    x = 2,378,204,000,849,889/31,421,916
  6. Step 6: Final answer
    x = 75,686,154.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.