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Finding the Third Proportional to 34,685,909,640 and 55,192,100,937.19

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Solution

The third proportional to 34,685,909,640 and 55,192,100,937.19 is: 87,821,482,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685,909,640 : 55,192,100,937.19 = 55,192,100,937.19 : x
  2. Step 2: Convert to fraction form
    34,685,909,640/55,192,100,937.19 = 55,192,100,937.19/x
  3. Step 3: Cross multiply
    34,685,909,640x = 55,192,100,937.19 × 55,192,100,937.19
  4. Step 4: Simplify right side
    34,685,909,640x = 3,046,168,005,860,748,951,552
  5. Step 5: Solve for x
    x = 3,046,168,005,860,748,951,552/34,685,909,640
  6. Step 6: Final answer
    x = 87,821,482,483.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.