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Finding the Third Proportional to 1,370,765,415 and 2,088,288,279

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Solution

The third proportional to 1,370,765,415 and 2,088,288,279 is: 3,181,396,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370,765,415 : 2,088,288,279 = 2,088,288,279 : x
  2. Step 2: Convert to fraction form
    1,370,765,415/2,088,288,279 = 2,088,288,279/x
  3. Step 3: Cross multiply
    1,370,765,415x = 2,088,288,279 × 2,088,288,279
  4. Step 4: Simplify right side
    1,370,765,415x = 4,360,947,936,208,781,824
  5. Step 5: Solve for x
    x = 4,360,947,936,208,781,824/1,370,765,415
  6. Step 6: Final answer
    x = 3,181,396,239.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.