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Finding the Third Proportional to 34,053,864 and 75,666,000

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Solution

The third proportional to 34,053,864 and 75,666,000 is: 168,126,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053,864 : 75,666,000 = 75,666,000 : x
  2. Step 2: Convert to fraction form
    34,053,864/75,666,000 = 75,666,000/x
  3. Step 3: Cross multiply
    34,053,864x = 75,666,000 × 75,666,000
  4. Step 4: Simplify right side
    34,053,864x = 5,725,343,556,000,000
  5. Step 5: Solve for x
    x = 5,725,343,556,000,000/34,053,864
  6. Step 6: Final answer
    x = 168,126,106.22

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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.