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Finding the Third Proportional to 6,220,335,625 and 13,708,573,742

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Solution

The third proportional to 6,220,335,625 and 13,708,573,742 is: 30,211,391,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220,335,625 : 13,708,573,742 = 13,708,573,742 : x
  2. Step 2: Convert to fraction form
    6,220,335,625/13,708,573,742 = 13,708,573,742/x
  3. Step 3: Cross multiply
    6,220,335,625x = 13,708,573,742 × 13,708,573,742
  4. Step 4: Simplify right side
    6,220,335,625x = 187,924,994,039,851,876,352
  5. Step 5: Solve for x
    x = 187,924,994,039,851,876,352/6,220,335,625
  6. Step 6: Final answer
    x = 30,211,391,373.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.