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Finding the Third Proportional to 6,133,144,277 and 13,340,878,897

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Solution

The third proportional to 6,133,144,277 and 13,340,878,897 is: 29,019,217,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133,144,277 : 13,340,878,897 = 13,340,878,897 : x
  2. Step 2: Convert to fraction form
    6,133,144,277/13,340,878,897 = 13,340,878,897/x
  3. Step 3: Cross multiply
    6,133,144,277x = 13,340,878,897 × 13,340,878,897
  4. Step 4: Simplify right side
    6,133,144,277x = 177,979,049,744,419,946,496
  5. Step 5: Solve for x
    x = 177,979,049,744,419,946,496/6,133,144,277
  6. Step 6: Final answer
    x = 29,019,217,827.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.