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Finding the Third Proportional to 32,808,900 and 71,796,561

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Solution

The third proportional to 32,808,900 and 71,796,561 is: 157,114,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,808,900 : 71,796,561 = 71,796,561 : x
  2. Step 2: Convert to fraction form
    32,808,900/71,796,561 = 71,796,561/x
  3. Step 3: Cross multiply
    32,808,900x = 71,796,561 × 71,796,561
  4. Step 4: Simplify right side
    32,808,900x = 5,154,746,171,426,721
  5. Step 5: Solve for x
    x = 5,154,746,171,426,721/32,808,900
  6. Step 6: Final answer
    x = 157,114,263.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.