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Finding the Third Proportional to 17,772,211,414 and 37,015,418,314

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Solution

The third proportional to 17,772,211,414 and 37,015,418,314 is: 77,094,581,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772,211,414 : 37,015,418,314 = 37,015,418,314 : x
  2. Step 2: Convert to fraction form
    17,772,211,414/37,015,418,314 = 37,015,418,314/x
  3. Step 3: Cross multiply
    17,772,211,414x = 37,015,418,314 × 37,015,418,314
  4. Step 4: Simplify right side
    17,772,211,414x = 1,370,141,192,960,406,716,416
  5. Step 5: Solve for x
    x = 1,370,141,192,960,406,716,416/17,772,211,414
  6. Step 6: Final answer
    x = 77,094,581,031.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.