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Finding the Third Proportional to 69,668,184 and 97,442,568

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Solution

The third proportional to 69,668,184 and 97,442,568 is: 136,289,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,668,184 : 97,442,568 = 97,442,568 : x
  2. Step 2: Convert to fraction form
    69,668,184/97,442,568 = 97,442,568/x
  3. Step 3: Cross multiply
    69,668,184x = 97,442,568 × 97,442,568
  4. Step 4: Simplify right side
    69,668,184x = 9,495,054,058,434,624
  5. Step 5: Solve for x
    x = 9,495,054,058,434,624/69,668,184
  6. Step 6: Final answer
    x = 136,289,673.61

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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.