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Finding the Third Proportional to 30,489,050,656 and 66,043,263,296

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Solution

The third proportional to 30,489,050,656 and 66,043,263,296 is: 143,058,328,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489,050,656 : 66,043,263,296 = 66,043,263,296 : x
  2. Step 2: Convert to fraction form
    30,489,050,656/66,043,263,296 = 66,043,263,296/x
  3. Step 3: Cross multiply
    30,489,050,656x = 66,043,263,296 × 66,043,263,296
  4. Step 4: Simplify right side
    30,489,050,656x = 4,361,712,626,784,780,943,360
  5. Step 5: Solve for x
    x = 4,361,712,626,784,780,943,360/30,489,050,656
  6. Step 6: Final answer
    x = 143,058,328,578.24

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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.