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Finding the Third Proportional to 766,643,041 and 1,667,609,875

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Solution

The third proportional to 766,643,041 and 1,667,609,875 is: 3,627,402,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,643,041 : 1,667,609,875 = 1,667,609,875 : x
  2. Step 2: Convert to fraction form
    766,643,041/1,667,609,875 = 1,667,609,875/x
  3. Step 3: Cross multiply
    766,643,041x = 1,667,609,875 × 1,667,609,875
  4. Step 4: Simplify right side
    766,643,041x = 2,780,922,695,197,515,776
  5. Step 5: Solve for x
    x = 2,780,922,695,197,515,776/766,643,041
  6. Step 6: Final answer
    x = 3,627,402,254.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.