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Finding the Third Proportional to 27,384,616 and 59,335,664

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Solution

The third proportional to 27,384,616 and 59,335,664 is: 128,565,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384,616 : 59,335,664 = 59,335,664 : x
  2. Step 2: Convert to fraction form
    27,384,616/59,335,664 = 59,335,664/x
  3. Step 3: Cross multiply
    27,384,616x = 59,335,664 × 59,335,664
  4. Step 4: Simplify right side
    27,384,616x = 3,520,721,022,320,896
  5. Step 5: Solve for x
    x = 3,520,721,022,320,896/27,384,616
  6. Step 6: Final answer
    x = 128,565,652.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.