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Finding the Third Proportional to 296,887,740 and 614,140,824

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Solution

The third proportional to 296,887,740 and 614,140,824 is: 1,270,409,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887,740 : 614,140,824 = 614,140,824 : x
  2. Step 2: Convert to fraction form
    296,887,740/614,140,824 = 614,140,824/x
  3. Step 3: Cross multiply
    296,887,740x = 614,140,824 × 614,140,824
  4. Step 4: Simplify right side
    296,887,740x = 377,168,951,703,398,976
  5. Step 5: Solve for x
    x = 377,168,951,703,398,976/296,887,740
  6. Step 6: Final answer
    x = 1,270,409,319.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.