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Finding the Third Proportional to 23,734,812 and 48,727,878

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Solution

The third proportional to 23,734,812 and 48,727,878 is: 100,038,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734,812 : 48,727,878 = 48,727,878 : x
  2. Step 2: Convert to fraction form
    23,734,812/48,727,878 = 48,727,878/x
  3. Step 3: Cross multiply
    23,734,812x = 48,727,878 × 48,727,878
  4. Step 4: Simplify right side
    23,734,812x = 2,374,406,094,382,884
  5. Step 5: Solve for x
    x = 2,374,406,094,382,884/23,734,812
  6. Step 6: Final answer
    x = 100,038,967.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.