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Finding the Third Proportional to 2,309,538,246 and 3,336,884,649

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Solution

The third proportional to 2,309,538,246 and 3,336,884,649 is: 4,821,223,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,538,246 : 3,336,884,649 = 3,336,884,649 : x
  2. Step 2: Convert to fraction form
    2,309,538,246/3,336,884,649 = 3,336,884,649/x
  3. Step 3: Cross multiply
    2,309,538,246x = 3,336,884,649 × 3,336,884,649
  4. Step 4: Simplify right side
    2,309,538,246x = 11,134,799,160,731,852,800
  5. Step 5: Solve for x
    x = 11,134,799,160,731,852,800/2,309,538,246
  6. Step 6: Final answer
    x = 4,821,223,108.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.