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Finding the Third Proportional to 31,550,922 and 48,466,078

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Solution

The third proportional to 31,550,922 and 48,466,078 is: 74,449,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,550,922 : 48,466,078 = 48,466,078 : x
  2. Step 2: Convert to fraction form
    31,550,922/48,466,078 = 48,466,078/x
  3. Step 3: Cross multiply
    31,550,922x = 48,466,078 × 48,466,078
  4. Step 4: Simplify right side
    31,550,922x = 2,348,960,716,702,084
  5. Step 5: Solve for x
    x = 2,348,960,716,702,084/31,550,922
  6. Step 6: Final answer
    x = 74,449,828.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.