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Finding the Third Proportional to 23,734,830 and 48,727,914

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Solution

The third proportional to 23,734,830 and 48,727,914 is: 100,039,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734,830 : 48,727,914 = 48,727,914 : x
  2. Step 2: Convert to fraction form
    23,734,830/48,727,914 = 48,727,914/x
  3. Step 3: Cross multiply
    23,734,830x = 48,727,914 × 48,727,914
  4. Step 4: Simplify right side
    23,734,830x = 2,374,409,602,791,396
  5. Step 5: Solve for x
    x = 2,374,409,602,791,396/23,734,830
  6. Step 6: Final answer
    x = 100,039,039.79

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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.