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Finding the Third Proportional to 296,887,680 and 614,140,704

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Solution

The third proportional to 296,887,680 and 614,140,704 is: 1,270,409,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887,680 : 614,140,704 = 614,140,704 : x
  2. Step 2: Convert to fraction form
    296,887,680/614,140,704 = 614,140,704/x
  3. Step 3: Cross multiply
    296,887,680x = 614,140,704 × 614,140,704
  4. Step 4: Simplify right side
    296,887,680x = 377,168,804,309,615,616
  5. Step 5: Solve for x
    x = 377,168,804,309,615,616/296,887,680
  6. Step 6: Final answer
    x = 1,270,409,079.65

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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.