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Finding the Third Proportional to 1,750,679,739 and 3,780,883,293.75

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Solution

The third proportional to 1,750,679,739 and 3,780,883,293.75 is: 8,165,444,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750,679,739 : 3,780,883,293.75 = 3,780,883,293.75 : x
  2. Step 2: Convert to fraction form
    1,750,679,739/3,780,883,293.75 = 3,780,883,293.75/x
  3. Step 3: Cross multiply
    1,750,679,739x = 3,780,883,293.75 × 3,780,883,293.75
  4. Step 4: Simplify right side
    1,750,679,739x = 14,295,078,480,957,849,600
  5. Step 5: Solve for x
    x = 14,295,078,480,957,849,600/1,750,679,739
  6. Step 6: Final answer
    x = 8,165,444,634.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.