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Finding the Third Proportional to 48,486,320 and 75,284,255

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Solution

The third proportional to 48,486,320 and 75,284,255 is: 116,893,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486,320 : 75,284,255 = 75,284,255 : x
  2. Step 2: Convert to fraction form
    48,486,320/75,284,255 = 75,284,255/x
  3. Step 3: Cross multiply
    48,486,320x = 75,284,255 × 75,284,255
  4. Step 4: Simplify right side
    48,486,320x = 5,667,719,050,905,025
  5. Step 5: Solve for x
    x = 5,667,719,050,905,025/48,486,320
  6. Step 6: Final answer
    x = 116,893,157.72

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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.