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Finding the Third Proportional to 82,464,604 and 162,847,669

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Solution

The third proportional to 82,464,604 and 162,847,669 is: 321,584,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,464,604 : 162,847,669 = 162,847,669 : x
  2. Step 2: Convert to fraction form
    82,464,604/162,847,669 = 162,847,669/x
  3. Step 3: Cross multiply
    82,464,604x = 162,847,669 × 162,847,669
  4. Step 4: Simplify right side
    82,464,604x = 26,519,363,298,733,560
  5. Step 5: Solve for x
    x = 26,519,363,298,733,560/82,464,604
  6. Step 6: Final answer
    x = 321,584,801.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.