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Finding the Third Proportional to 6,381,855,056 and 9,803,310,744

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Solution

The third proportional to 6,381,855,056 and 9,803,310,744 is: 15,059,085,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,855,056 : 9,803,310,744 = 9,803,310,744 : x
  2. Step 2: Convert to fraction form
    6,381,855,056/9,803,310,744 = 9,803,310,744/x
  3. Step 3: Cross multiply
    6,381,855,056x = 9,803,310,744 × 9,803,310,744
  4. Step 4: Simplify right side
    6,381,855,056x = 96,104,901,543,425,835,008
  5. Step 5: Solve for x
    x = 96,104,901,543,425,835,008/6,381,855,056
  6. Step 6: Final answer
    x = 15,059,085,595.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.