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Finding the Third Proportional to 33,382,017 and 71,173,390.50

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Solution

The third proportional to 33,382,017 and 71,173,390.50 is: 151,747,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382,017 : 71,173,390.50 = 71,173,390.50 : x
  2. Step 2: Convert to fraction form
    33,382,017/71,173,390.50 = 71,173,390.50/x
  3. Step 3: Cross multiply
    33,382,017x = 71,173,390.50 × 71,173,390.50
  4. Step 4: Simplify right side
    33,382,017x = 5,065,651,515,265,490
  5. Step 5: Solve for x
    x = 5,065,651,515,265,490/33,382,017
  6. Step 6: Final answer
    x = 151,747,916.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.