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Finding the Third Proportional to 31,920,874 and 49,528,093

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Solution

The third proportional to 31,920,874 and 49,528,093 is: 76,847,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920,874 : 49,528,093 = 49,528,093 : x
  2. Step 2: Convert to fraction form
    31,920,874/49,528,093 = 49,528,093/x
  3. Step 3: Cross multiply
    31,920,874x = 49,528,093 × 49,528,093
  4. Step 4: Simplify right side
    31,920,874x = 2,453,031,996,216,649
  5. Step 5: Solve for x
    x = 2,453,031,996,216,649/31,920,874
  6. Step 6: Final answer
    x = 76,847,269.16

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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.