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Finding the Third Proportional to 7,275,624 and 15,842,944.50

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Solution

The third proportional to 7,275,624 and 15,842,944.50 is: 34,498,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275,624 : 15,842,944.50 = 15,842,944.50 : x
  2. Step 2: Convert to fraction form
    7,275,624/15,842,944.50 = 15,842,944.50/x
  3. Step 3: Cross multiply
    7,275,624x = 15,842,944.50 × 15,842,944.50
  4. Step 4: Simplify right side
    7,275,624x = 250,998,890,430,080.25
  5. Step 5: Solve for x
    x = 250,998,890,430,080.25/7,275,624
  6. Step 6: Final answer
    x = 34,498,606.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.