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Finding the Third Proportional to 3,211,830,322 and 4,910,060,291

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Solution

The third proportional to 3,211,830,322 and 4,910,060,291 is: 7,506,215,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,830,322 : 4,910,060,291 = 4,910,060,291 : x
  2. Step 2: Convert to fraction form
    3,211,830,322/4,910,060,291 = 4,910,060,291/x
  3. Step 3: Cross multiply
    3,211,830,322x = 4,910,060,291 × 4,910,060,291
  4. Step 4: Simplify right side
    3,211,830,322x = 24,108,692,061,255,004,160
  5. Step 5: Solve for x
    x = 24,108,692,061,255,004,160/3,211,830,322
  6. Step 6: Final answer
    x = 7,506,215,971.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.