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Finding the Third Proportional to 263,172,145 and 570,276,746

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Solution

The third proportional to 263,172,145 and 570,276,746 is: 1,235,752,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,172,145 : 570,276,746 = 570,276,746 : x
  2. Step 2: Convert to fraction form
    263,172,145/570,276,746 = 570,276,746/x
  3. Step 3: Cross multiply
    263,172,145x = 570,276,746 × 570,276,746
  4. Step 4: Simplify right side
    263,172,145x = 325,215,567,028,348,544
  5. Step 5: Solve for x
    x = 325,215,567,028,348,544/263,172,145
  6. Step 6: Final answer
    x = 1,235,752,237.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.