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Finding the Third Proportional to 3,834,918,370 and 8,252,296,074

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Solution

The third proportional to 3,834,918,370 and 8,252,296,074 is: 17,757,976,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,918,370 : 8,252,296,074 = 8,252,296,074 : x
  2. Step 2: Convert to fraction form
    3,834,918,370/8,252,296,074 = 8,252,296,074/x
  3. Step 3: Cross multiply
    3,834,918,370x = 8,252,296,074 × 8,252,296,074
  4. Step 4: Simplify right side
    3,834,918,370x = 68,100,390,492,955,811,840
  5. Step 5: Solve for x
    x = 68,100,390,492,955,811,840/3,834,918,370
  6. Step 6: Final answer
    x = 17,757,976,551.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.