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Finding the Third Proportional to 34,685,909,650.50 and 55,192,100,952

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Solution

The third proportional to 34,685,909,650.50 and 55,192,100,952 is: 87,821,482,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685,909,650.50 : 55,192,100,952 = 55,192,100,952 : x
  2. Step 2: Convert to fraction form
    34,685,909,650.50/55,192,100,952 = 55,192,100,952/x
  3. Step 3: Cross multiply
    34,685,909,650.50x = 55,192,100,952 × 55,192,100,952
  4. Step 4: Simplify right side
    34,685,909,650.50x = 3,046,168,007,495,759,429,632
  5. Step 5: Solve for x
    x = 3,046,168,007,495,759,429,632/34,685,909,650.50
  6. Step 6: Final answer
    x = 87,821,482,503.68

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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.