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Finding the Third Proportional to 324,788,904 and 766,443,692

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Solution

The third proportional to 324,788,904 and 766,443,692 is: 1,808,669,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,788,904 : 766,443,692 = 766,443,692 : x
  2. Step 2: Convert to fraction form
    324,788,904/766,443,692 = 766,443,692/x
  3. Step 3: Cross multiply
    324,788,904x = 766,443,692 × 766,443,692
  4. Step 4: Simplify right side
    324,788,904x = 587,435,933,006,590,848
  5. Step 5: Solve for x
    x = 587,435,933,006,590,848/324,788,904
  6. Step 6: Final answer
    x = 1,808,669,956.92

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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.