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Finding the Third Proportional to 296,887,779 and 614,140,902

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Solution

The third proportional to 296,887,779 and 614,140,902 is: 1,270,409,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887,779 : 614,140,902 = 614,140,902 : x
  2. Step 2: Convert to fraction form
    296,887,779/614,140,902 = 614,140,902/x
  3. Step 3: Cross multiply
    296,887,779x = 614,140,902 × 614,140,902
  4. Step 4: Simplify right side
    296,887,779x = 377,169,047,509,373,632
  5. Step 5: Solve for x
    x = 377,169,047,509,373,632/296,887,779
  6. Step 6: Final answer
    x = 1,270,409,475.19

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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.