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Finding the Third Proportional to 69,024,566 and 109,884,873

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Solution

The third proportional to 69,024,566 and 109,884,873 is: 174,933,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,024,566 : 109,884,873 = 109,884,873 : x
  2. Step 2: Convert to fraction form
    69,024,566/109,884,873 = 109,884,873/x
  3. Step 3: Cross multiply
    69,024,566x = 109,884,873 × 109,884,873
  4. Step 4: Simplify right side
    69,024,566x = 12,074,685,314,226,128
  5. Step 5: Solve for x
    x = 12,074,685,314,226,128/69,024,566
  6. Step 6: Final answer
    x = 174,933,158.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.