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Finding the Third Proportional to 34,053,939 and 75,666,138

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Solution

The third proportional to 34,053,939 and 75,666,138 is: 168,126,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053,939 : 75,666,138 = 75,666,138 : x
  2. Step 2: Convert to fraction form
    34,053,939/75,666,138 = 75,666,138/x
  3. Step 3: Cross multiply
    34,053,939x = 75,666,138 × 75,666,138
  4. Step 4: Simplify right side
    34,053,939x = 5,725,364,439,835,044
  5. Step 5: Solve for x
    x = 5,725,364,439,835,044/34,053,939
  6. Step 6: Final answer
    x = 168,126,349.20

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Why These Related Problems?

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