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Finding the Third Proportional to 34,685,909,657.50 and 55,192,100,959

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Solution

The third proportional to 34,685,909,657.50 and 55,192,100,959 is: 87,821,482,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685,909,657.50 : 55,192,100,959 = 55,192,100,959 : x
  2. Step 2: Convert to fraction form
    34,685,909,657.50/55,192,100,959 = 55,192,100,959/x
  3. Step 3: Cross multiply
    34,685,909,657.50x = 55,192,100,959 × 55,192,100,959
  4. Step 4: Simplify right side
    34,685,909,657.50x = 3,046,168,008,268,448,792,576
  5. Step 5: Solve for x
    x = 3,046,168,008,268,448,792,576/34,685,909,657.50
  6. Step 6: Final answer
    x = 87,821,482,508.24

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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.