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Finding the Third Proportional to 12,584,078 and 27,569,157

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Solution

The third proportional to 12,584,078 and 27,569,157 is: 60,398,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584,078 : 27,569,157 = 27,569,157 : x
  2. Step 2: Convert to fraction form
    12,584,078/27,569,157 = 27,569,157/x
  3. Step 3: Cross multiply
    12,584,078x = 27,569,157 × 27,569,157
  4. Step 4: Simplify right side
    12,584,078x = 760,058,417,690,649
  5. Step 5: Solve for x
    x = 760,058,417,690,649/12,584,078
  6. Step 6: Final answer
    x = 60,398,419.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.