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Finding the Third Proportional to 30,485,992,321 and 66,037,813,120

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Solution

The third proportional to 30,485,992,321 and 66,037,813,120 is: 143,049,067,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,485,992,321 : 66,037,813,120 = 66,037,813,120 : x
  2. Step 2: Convert to fraction form
    30,485,992,321/66,037,813,120 = 66,037,813,120/x
  3. Step 3: Cross multiply
    30,485,992,321x = 66,037,813,120 × 66,037,813,120
  4. Step 4: Simplify right side
    30,485,992,321x = 4,360,992,761,672,044,118,016
  5. Step 5: Solve for x
    x = 4,360,992,761,672,044,118,016/30,485,992,321
  6. Step 6: Final answer
    x = 143,049,067,117.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.