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Finding the Third Proportional to 66,079,711.41 and 140,036,666.48

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Solution

The third proportional to 66,079,711.41 and 140,036,666.48 is: 296,766,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,079,711.41 : 140,036,666.48 = 140,036,666.48 : x
  2. Step 2: Convert to fraction form
    66,079,711.41/140,036,666.48 = 140,036,666.48/x
  3. Step 3: Cross multiply
    66,079,711.41x = 140,036,666.48 × 140,036,666.48
  4. Step 4: Simplify right side
    66,079,711.41x = 19,610,267,960,057,480
  5. Step 5: Solve for x
    x = 19,610,267,960,057,480/66,079,711.41
  6. Step 6: Final answer
    x = 296,766,852.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.