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Finding the Third Proportional to 116,707,072 and 270,155,746

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Solution

The third proportional to 116,707,072 and 270,155,746 is: 625,361,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,707,072 : 270,155,746 = 270,155,746 : x
  2. Step 2: Convert to fraction form
    116,707,072/270,155,746 = 270,155,746/x
  3. Step 3: Cross multiply
    116,707,072x = 270,155,746 × 270,155,746
  4. Step 4: Simplify right side
    116,707,072x = 72,984,127,096,816,512
  5. Step 5: Solve for x
    x = 72,984,127,096,816,512/116,707,072
  6. Step 6: Final answer
    x = 625,361,649.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.