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Finding the Third Proportional to 40,084,241 and 85,837,180

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Solution

The third proportional to 40,084,241 and 85,837,180 is: 183,813,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,084,241 : 85,837,180 = 85,837,180 : x
  2. Step 2: Convert to fraction form
    40,084,241/85,837,180 = 85,837,180/x
  3. Step 3: Cross multiply
    40,084,241x = 85,837,180 × 85,837,180
  4. Step 4: Simplify right side
    40,084,241x = 7,368,021,470,352,400
  5. Step 5: Solve for x
    x = 7,368,021,470,352,400/40,084,241
  6. Step 6: Final answer
    x = 183,813,421.10

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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.