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Finding the Third Proportional to 32,420,881 and 69,475,263

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Solution

The third proportional to 32,420,881 and 69,475,263 is: 148,879,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420,881 : 69,475,263 = 69,475,263 : x
  2. Step 2: Convert to fraction form
    32,420,881/69,475,263 = 69,475,263/x
  3. Step 3: Cross multiply
    32,420,881x = 69,475,263 × 69,475,263
  4. Step 4: Simplify right side
    32,420,881x = 4,826,812,168,919,169
  5. Step 5: Solve for x
    x = 4,826,812,168,919,169/32,420,881
  6. Step 6: Final answer
    x = 148,879,734.91

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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.