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Finding the Third Proportional to 324,788,550 and 766,442,823

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Solution

The third proportional to 324,788,550 and 766,442,823 is: 1,808,667,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,788,550 : 766,442,823 = 766,442,823 : x
  2. Step 2: Convert to fraction form
    324,788,550/766,442,823 = 766,442,823/x
  3. Step 3: Cross multiply
    324,788,550x = 766,442,823 × 766,442,823
  4. Step 4: Simplify right side
    324,788,550x = 587,434,600,928,209,280
  5. Step 5: Solve for x
    x = 587,434,600,928,209,280/324,788,550
  6. Step 6: Final answer
    x = 1,808,667,826.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.