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Finding the Third Proportional to 48,084,492 and 113,396,583

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Solution

The third proportional to 48,084,492 and 113,396,583 is: 267,420,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,084,492 : 113,396,583 = 113,396,583 : x
  2. Step 2: Convert to fraction form
    48,084,492/113,396,583 = 113,396,583/x
  3. Step 3: Cross multiply
    48,084,492x = 113,396,583 × 113,396,583
  4. Step 4: Simplify right side
    48,084,492x = 12,858,785,036,075,888
  5. Step 5: Solve for x
    x = 12,858,785,036,075,888/48,084,492
  6. Step 6: Final answer
    x = 267,420,627.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.