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Finding the Third Proportional to 40,348,927 and 86,307,509

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Solution

The third proportional to 40,348,927 and 86,307,509 is: 184,614,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,927 : 86,307,509 = 86,307,509 : x
  2. Step 2: Convert to fraction form
    40,348,927/86,307,509 = 86,307,509/x
  3. Step 3: Cross multiply
    40,348,927x = 86,307,509 × 86,307,509
  4. Step 4: Simplify right side
    40,348,927x = 7,448,986,109,785,081
  5. Step 5: Solve for x
    x = 7,448,986,109,785,081/40,348,927
  6. Step 6: Final answer
    x = 184,614,230.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.