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Finding the Third Proportional to 13,277,306,072 and 27,087,960,322

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Solution

The third proportional to 13,277,306,072 and 27,087,960,322 is: 55,264,041,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277,306,072 : 27,087,960,322 = 27,087,960,322 : x
  2. Step 2: Convert to fraction form
    13,277,306,072/27,087,960,322 = 27,087,960,322/x
  3. Step 3: Cross multiply
    13,277,306,072x = 27,087,960,322 × 27,087,960,322
  4. Step 4: Simplify right side
    13,277,306,072x = 733,757,594,406,246,285,312
  5. Step 5: Solve for x
    x = 733,757,594,406,246,285,312/13,277,306,072
  6. Step 6: Final answer
    x = 55,264,041,547.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.