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Finding the Third Proportional to 741,556,539 and 1,121,878,876.50

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Solution

The third proportional to 741,556,539 and 1,121,878,876.50 is: 1,697,257,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,556,539 : 1,121,878,876.50 = 1,121,878,876.50 : x
  2. Step 2: Convert to fraction form
    741,556,539/1,121,878,876.50 = 1,121,878,876.50/x
  3. Step 3: Cross multiply
    741,556,539x = 1,121,878,876.50 × 1,121,878,876.50
  4. Step 4: Simplify right side
    741,556,539x = 1,258,612,213,536,902,144
  5. Step 5: Solve for x
    x = 1,258,612,213,536,902,144/741,556,539
  6. Step 6: Final answer
    x = 1,697,257,251.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.