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Finding the Third Proportional to 2,919,538,107 and 6,046,023,276

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Solution

The third proportional to 2,919,538,107 and 6,046,023,276 is: 12,520,609,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919,538,107 : 6,046,023,276 = 6,046,023,276 : x
  2. Step 2: Convert to fraction form
    2,919,538,107/6,046,023,276 = 6,046,023,276/x
  3. Step 3: Cross multiply
    2,919,538,107x = 6,046,023,276 × 6,046,023,276
  4. Step 4: Simplify right side
    2,919,538,107x = 36,554,397,453,933,772,800
  5. Step 5: Solve for x
    x = 36,554,397,453,933,772,800/2,919,538,107
  6. Step 6: Final answer
    x = 12,520,609,806.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.