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Finding the Third Proportional to 32,322,900 and 69,773,196

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Solution

The third proportional to 32,322,900 and 69,773,196 is: 150,614,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322,900 : 69,773,196 = 69,773,196 : x
  2. Step 2: Convert to fraction form
    32,322,900/69,773,196 = 69,773,196/x
  3. Step 3: Cross multiply
    32,322,900x = 69,773,196 × 69,773,196
  4. Step 4: Simplify right side
    32,322,900x = 4,868,298,880,054,416
  5. Step 5: Solve for x
    x = 4,868,298,880,054,416/32,322,900
  6. Step 6: Final answer
    x = 150,614,545.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.