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Finding the Third Proportional to 513,026,010 and 1,140,530,292

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Solution

The third proportional to 513,026,010 and 1,140,530,292 is: 2,535,562,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,026,010 : 1,140,530,292 = 1,140,530,292 : x
  2. Step 2: Convert to fraction form
    513,026,010/1,140,530,292 = 1,140,530,292/x
  3. Step 3: Cross multiply
    513,026,010x = 1,140,530,292 × 1,140,530,292
  4. Step 4: Simplify right side
    513,026,010x = 1,300,809,346,969,605,376
  5. Step 5: Solve for x
    x = 1,300,809,346,969,605,376/513,026,010
  6. Step 6: Final answer
    x = 2,535,562,177.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.