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Finding the Third Proportional to 34,053,846 and 75,665,964

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Solution

The third proportional to 34,053,846 and 75,665,964 is: 168,126,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053,846 : 75,665,964 = 75,665,964 : x
  2. Step 2: Convert to fraction form
    34,053,846/75,665,964 = 75,665,964/x
  3. Step 3: Cross multiply
    34,053,846x = 75,665,964 × 75,665,964
  4. Step 4: Simplify right side
    34,053,846x = 5,725,338,108,049,296
  5. Step 5: Solve for x
    x = 5,725,338,108,049,296/34,053,846
  6. Step 6: Final answer
    x = 168,126,035.10

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.