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Finding the Third Proportional to 57,822,994.50 and 79,290,964.50

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Solution

The third proportional to 57,822,994.50 and 79,290,964.50 is: 108,729,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,822,994.50 : 79,290,964.50 = 79,290,964.50 : x
  2. Step 2: Convert to fraction form
    57,822,994.50/79,290,964.50 = 79,290,964.50/x
  3. Step 3: Cross multiply
    57,822,994.50x = 79,290,964.50 × 79,290,964.50
  4. Step 4: Simplify right side
    57,822,994.50x = 6,287,057,051,340,260
  5. Step 5: Solve for x
    x = 6,287,057,051,340,260/57,822,994.50
  6. Step 6: Final answer
    x = 108,729,357.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.