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Finding the Third Proportional to 39,884,142 and 86,756,396

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Solution

The third proportional to 39,884,142 and 86,756,396 is: 188,713,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,884,142 : 86,756,396 = 86,756,396 : x
  2. Step 2: Convert to fraction form
    39,884,142/86,756,396 = 86,756,396/x
  3. Step 3: Cross multiply
    39,884,142x = 86,756,396 × 86,756,396
  4. Step 4: Simplify right side
    39,884,142x = 7,526,672,246,908,816
  5. Step 5: Solve for x
    x = 7,526,672,246,908,816/39,884,142
  6. Step 6: Final answer
    x = 188,713,405.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.