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Finding the Third Proportional to 856,832,618.25 and 1,865,778,247.13

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Solution

The third proportional to 856,832,618.25 and 1,865,778,247.13 is: 4,062,787,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,832,618.25 : 1,865,778,247.13 = 1,865,778,247.13 : x
  2. Step 2: Convert to fraction form
    856,832,618.25/1,865,778,247.13 = 1,865,778,247.13/x
  3. Step 3: Cross multiply
    856,832,618.25x = 1,865,778,247.13 × 1,865,778,247.13
  4. Step 4: Simplify right side
    856,832,618.25x = 3,481,128,467,444,837,376
  5. Step 5: Solve for x
    x = 3,481,128,467,444,837,376/856,832,618.25
  6. Step 6: Final answer
    x = 4,062,787,052.34

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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.