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Finding the Third Proportional to 1,370,765,412 and 2,088,288,274.50

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Solution

The third proportional to 1,370,765,412 and 2,088,288,274.50 is: 3,181,396,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370,765,412 : 2,088,288,274.50 = 2,088,288,274.50 : x
  2. Step 2: Convert to fraction form
    1,370,765,412/2,088,288,274.50 = 2,088,288,274.50/x
  3. Step 3: Cross multiply
    1,370,765,412x = 2,088,288,274.50 × 2,088,288,274.50
  4. Step 4: Simplify right side
    1,370,765,412x = 4,360,947,917,414,187,520
  5. Step 5: Solve for x
    x = 4,360,947,917,414,187,520/1,370,765,412
  6. Step 6: Final answer
    x = 3,181,396,232.53

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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.