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Finding the Third Proportional to 3,193,657,854 and 6,989,367,012

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Solution

The third proportional to 3,193,657,854 and 6,989,367,012 is: 15,296,332,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,657,854 : 6,989,367,012 = 6,989,367,012 : x
  2. Step 2: Convert to fraction form
    3,193,657,854/6,989,367,012 = 6,989,367,012/x
  3. Step 3: Cross multiply
    3,193,657,854x = 6,989,367,012 × 6,989,367,012
  4. Step 4: Simplify right side
    3,193,657,854x = 48,851,251,228,433,809,408
  5. Step 5: Solve for x
    x = 48,851,251,228,433,809,408/3,193,657,854
  6. Step 6: Final answer
    x = 15,296,332,125.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.