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Finding the Third Proportional to 69,914,033 and 142,603,810

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Solution

The third proportional to 69,914,033 and 142,603,810 is: 290,869,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,914,033 : 142,603,810 = 142,603,810 : x
  2. Step 2: Convert to fraction form
    69,914,033/142,603,810 = 142,603,810/x
  3. Step 3: Cross multiply
    69,914,033x = 142,603,810 × 142,603,810
  4. Step 4: Simplify right side
    69,914,033x = 20,335,846,626,516,100
  5. Step 5: Solve for x
    x = 20,335,846,626,516,100/69,914,033
  6. Step 6: Final answer
    x = 290,869,311.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.