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Finding the Third Proportional to 69,668,180 and 97,442,562

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Solution

The third proportional to 69,668,180 and 97,442,562 is: 136,289,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,668,180 : 97,442,562 = 97,442,562 : x
  2. Step 2: Convert to fraction form
    69,668,180/97,442,562 = 97,442,562/x
  3. Step 3: Cross multiply
    69,668,180x = 97,442,562 × 97,442,562
  4. Step 4: Simplify right side
    69,668,180x = 9,495,052,889,123,844
  5. Step 5: Solve for x
    x = 9,495,052,889,123,844/69,668,180
  6. Step 6: Final answer
    x = 136,289,664.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.