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Finding the Third Proportional to 296,887,682 and 614,140,708

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Solution

The third proportional to 296,887,682 and 614,140,708 is: 1,270,409,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887,682 : 614,140,708 = 614,140,708 : x
  2. Step 2: Convert to fraction form
    296,887,682/614,140,708 = 614,140,708/x
  3. Step 3: Cross multiply
    296,887,682x = 614,140,708 × 614,140,708
  4. Step 4: Simplify right side
    296,887,682x = 377,168,809,222,741,248
  5. Step 5: Solve for x
    x = 377,168,809,222,741,248/296,887,682
  6. Step 6: Final answer
    x = 1,270,409,087.65

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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.