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Finding the Third Proportional to 54,479,440,482 and 76,685,626,479

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Solution

The third proportional to 54,479,440,482 and 76,685,626,479 is: 107,943,203,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,479,440,482 : 76,685,626,479 = 76,685,626,479 : x
  2. Step 2: Convert to fraction form
    54,479,440,482/76,685,626,479 = 76,685,626,479/x
  3. Step 3: Cross multiply
    54,479,440,482x = 76,685,626,479 × 76,685,626,479
  4. Step 4: Simplify right side
    54,479,440,482x = 5,880,685,308,476,705,996,800
  5. Step 5: Solve for x
    x = 5,880,685,308,476,705,996,800/54,479,440,482
  6. Step 6: Final answer
    x = 107,943,203,095.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.