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Finding the Third Proportional to 66,079,584 and 141,724,836

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Solution

The third proportional to 66,079,584 and 141,724,836 is: 303,965,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,079,584 : 141,724,836 = 141,724,836 : x
  2. Step 2: Convert to fraction form
    66,079,584/141,724,836 = 141,724,836/x
  3. Step 3: Cross multiply
    66,079,584x = 141,724,836 × 141,724,836
  4. Step 4: Simplify right side
    66,079,584x = 20,085,929,139,226,896
  5. Step 5: Solve for x
    x = 20,085,929,139,226,896/66,079,584
  6. Step 6: Final answer
    x = 303,965,732.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.