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Finding the Third Proportional to 2,919,538,089 and 6,046,023,249

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Solution

The third proportional to 2,919,538,089 and 6,046,023,249 is: 12,520,609,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919,538,089 : 6,046,023,249 = 6,046,023,249 : x
  2. Step 2: Convert to fraction form
    2,919,538,089/6,046,023,249 = 6,046,023,249/x
  3. Step 3: Cross multiply
    2,919,538,089x = 6,046,023,249 × 6,046,023,249
  4. Step 4: Simplify right side
    2,919,538,089x = 36,554,397,127,448,514,560
  5. Step 5: Solve for x
    x = 36,554,397,127,448,514,560/2,919,538,089
  6. Step 6: Final answer
    x = 12,520,609,772.20

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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.