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Finding the Third Proportional to 856,832,613.75 and 1,865,778,239.25

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Solution

The third proportional to 856,832,613.75 and 1,865,778,239.25 is: 4,062,787,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,832,613.75 : 1,865,778,239.25 = 1,865,778,239.25 : x
  2. Step 2: Convert to fraction form
    856,832,613.75/1,865,778,239.25 = 1,865,778,239.25/x
  3. Step 3: Cross multiply
    856,832,613.75x = 1,865,778,239.25 × 1,865,778,239.25
  4. Step 4: Simplify right side
    856,832,613.75x = 3,481,128,438,058,830,336
  5. Step 5: Solve for x
    x = 3,481,128,438,058,830,336/856,832,613.75
  6. Step 6: Final answer
    x = 4,062,787,039.38

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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.