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Finding the Third Proportional to 1,726,442,712 and 3,743,224,026.75

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Solution

The third proportional to 1,726,442,712 and 3,743,224,026.75 is: 8,115,951,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726,442,712 : 3,743,224,026.75 = 3,743,224,026.75 : x
  2. Step 2: Convert to fraction form
    1,726,442,712/3,743,224,026.75 = 3,743,224,026.75/x
  3. Step 3: Cross multiply
    1,726,442,712x = 3,743,224,026.75 × 3,743,224,026.75
  4. Step 4: Simplify right side
    1,726,442,712x = 14,011,726,114,438,483,968
  5. Step 5: Solve for x
    x = 14,011,726,114,438,483,968/1,726,442,712
  6. Step 6: Final answer
    x = 8,115,951,961.25

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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.