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Finding the Third Proportional to 69,896,527 and 109,408,055

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Solution

The third proportional to 69,896,527 and 109,408,055 is: 171,254,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,896,527 : 109,408,055 = 109,408,055 : x
  2. Step 2: Convert to fraction form
    69,896,527/109,408,055 = 109,408,055/x
  3. Step 3: Cross multiply
    69,896,527x = 109,408,055 × 109,408,055
  4. Step 4: Simplify right side
    69,896,527x = 11,970,122,498,883,024
  5. Step 5: Solve for x
    x = 11,970,122,498,883,024/69,896,527
  6. Step 6: Final answer
    x = 171,254,896.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.