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Finding the Third Proportional to 612,527,451 and 941,498,684.50

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Solution

The third proportional to 612,527,451 and 941,498,684.50 is: 1,447,151,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,527,451 : 941,498,684.50 = 941,498,684.50 : x
  2. Step 2: Convert to fraction form
    612,527,451/941,498,684.50 = 941,498,684.50/x
  3. Step 3: Cross multiply
    612,527,451x = 941,498,684.50 × 941,498,684.50
  4. Step 4: Simplify right side
    612,527,451x = 886,419,772,915,230,592
  5. Step 5: Solve for x
    x = 886,419,772,915,230,592/612,527,451
  6. Step 6: Final answer
    x = 1,447,151,097.42

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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.