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Finding the Third Proportional to 32,420,883 and 69,475,267

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Solution

The third proportional to 32,420,883 and 69,475,267 is: 148,879,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420,883 : 69,475,267 = 69,475,267 : x
  2. Step 2: Convert to fraction form
    32,420,883/69,475,267 = 69,475,267/x
  3. Step 3: Cross multiply
    32,420,883x = 69,475,267 × 69,475,267
  4. Step 4: Simplify right side
    32,420,883x = 4,826,812,724,721,289
  5. Step 5: Solve for x
    x = 4,826,812,724,721,289/32,420,883
  6. Step 6: Final answer
    x = 148,879,742.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.