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Finding the Third Proportional to 40,480,146 and 86,745,636

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Solution

The third proportional to 40,480,146 and 86,745,636 is: 185,888,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,480,146 : 86,745,636 = 86,745,636 : x
  2. Step 2: Convert to fraction form
    40,480,146/86,745,636 = 86,745,636/x
  3. Step 3: Cross multiply
    40,480,146x = 86,745,636 × 86,745,636
  4. Step 4: Simplify right side
    40,480,146x = 7,524,805,365,044,496
  5. Step 5: Solve for x
    x = 7,524,805,365,044,496/40,480,146
  6. Step 6: Final answer
    x = 185,888,790.15

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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.