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Finding the Third Proportional to 38,182,468,476 and 77,453,662,731

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Solution

The third proportional to 38,182,468,476 and 77,453,662,731 is: 157,115,820,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,182,468,476 : 77,453,662,731 = 77,453,662,731 : x
  2. Step 2: Convert to fraction form
    38,182,468,476/77,453,662,731 = 77,453,662,731/x
  3. Step 3: Cross multiply
    38,182,468,476x = 77,453,662,731 × 77,453,662,731
  4. Step 4: Simplify right side
    38,182,468,476x = 5,999,069,870,447,498,625,024
  5. Step 5: Solve for x
    x = 5,999,069,870,447,498,625,024/38,182,468,476
  6. Step 6: Final answer
    x = 157,115,820,686.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.