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Finding the Third Proportional to 83,941,652 and 180,637,887

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Solution

The third proportional to 83,941,652 and 180,637,887 is: 388,722,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,941,652 : 180,637,887 = 180,637,887 : x
  2. Step 2: Convert to fraction form
    83,941,652/180,637,887 = 180,637,887/x
  3. Step 3: Cross multiply
    83,941,652x = 180,637,887 × 180,637,887
  4. Step 4: Simplify right side
    83,941,652x = 32,630,046,219,824,768
  5. Step 5: Solve for x
    x = 32,630,046,219,824,768/83,941,652
  6. Step 6: Final answer
    x = 388,722,945.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.