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Finding the Third Proportional to 9,945,464,193,592 and 21,642,201,423,920

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Solution

The third proportional to 9,945,464,193,592 and 21,642,201,423,920 is: 47,095,326,407,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,464,193,592 : 21,642,201,423,920 = 21,642,201,423,920 : x
  2. Step 2: Convert to fraction form
    9,945,464,193,592/21,642,201,423,920 = 21,642,201,423,920/x
  3. Step 3: Cross multiply
    9,945,464,193,592x = 21,642,201,423,920 × 21,642,201,423,920
  4. Step 4: Simplify right side
    9,945,464,193,592x = 468,384,882,473,524,890,414,612,480
  5. Step 5: Solve for x
    x = 468,384,882,473,524,890,414,612,480/9,945,464,193,592
  6. Step 6: Final answer
    x = 47,095,326,407,721.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.