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Finding the Third Proportional to 342,070,910 and 746,843,556

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Solution

The third proportional to 342,070,910 and 746,843,556 is: 1,630,583,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,070,910 : 746,843,556 = 746,843,556 : x
  2. Step 2: Convert to fraction form
    342,070,910/746,843,556 = 746,843,556/x
  3. Step 3: Cross multiply
    342,070,910x = 746,843,556 × 746,843,556
  4. Step 4: Simplify right side
    342,070,910x = 557,775,297,138,725,120
  5. Step 5: Solve for x
    x = 557,775,297,138,725,120/342,070,910
  6. Step 6: Final answer
    x = 1,630,583,837.54

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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.