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Finding the Third Proportional to 1,439,774,917 and 2,150,227,657

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Solution

The third proportional to 1,439,774,917 and 2,150,227,657 is: 3,211,251,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439,774,917 : 2,150,227,657 = 2,150,227,657 : x
  2. Step 2: Convert to fraction form
    1,439,774,917/2,150,227,657 = 2,150,227,657/x
  3. Step 3: Cross multiply
    1,439,774,917x = 2,150,227,657 × 2,150,227,657
  4. Step 4: Simplify right side
    1,439,774,917x = 4,623,478,976,927,709,184
  5. Step 5: Solve for x
    x = 4,623,478,976,927,709,184/1,439,774,917
  6. Step 6: Final answer
    x = 3,211,251,232.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.