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Finding the Third Proportional to 462,324,115.13 and 697,405,276.69

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Solution

The third proportional to 462,324,115.13 and 697,405,276.69 is: 1,052,019,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,324,115.13 : 697,405,276.69 = 697,405,276.69 : x
  2. Step 2: Convert to fraction form
    462,324,115.13/697,405,276.69 = 697,405,276.69/x
  3. Step 3: Cross multiply
    462,324,115.13x = 697,405,276.69 × 697,405,276.69
  4. Step 4: Simplify right side
    462,324,115.13x = 486,374,119,951,596,352
  5. Step 5: Solve for x
    x = 486,374,119,951,596,352/462,324,115.13
  6. Step 6: Final answer
    x = 1,052,019,793.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.