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Finding the Third Proportional to 12,915,764,649.75 and 20,216,699,264.25

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Solution

The third proportional to 12,915,764,649.75 and 20,216,699,264.25 is: 31,644,655,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915,764,649.75 : 20,216,699,264.25 = 20,216,699,264.25 : x
  2. Step 2: Convert to fraction form
    12,915,764,649.75/20,216,699,264.25 = 20,216,699,264.25/x
  3. Step 3: Cross multiply
    12,915,764,649.75x = 20,216,699,264.25 × 20,216,699,264.25
  4. Step 4: Simplify right side
    12,915,764,649.75x = 408,714,929,141,126,463,488
  5. Step 5: Solve for x
    x = 408,714,929,141,126,463,488/12,915,764,649.75
  6. Step 6: Final answer
    x = 31,644,655,986.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.