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Finding the Third Proportional to 6,381,854,832 and 9,803,310,410

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Solution

The third proportional to 6,381,854,832 and 9,803,310,410 is: 15,059,085,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,854,832 : 9,803,310,410 = 9,803,310,410 : x
  2. Step 2: Convert to fraction form
    6,381,854,832/9,803,310,410 = 9,803,310,410/x
  3. Step 3: Cross multiply
    6,381,854,832x = 9,803,310,410 × 9,803,310,410
  4. Step 4: Simplify right side
    6,381,854,832x = 96,104,894,994,814,369,792
  5. Step 5: Solve for x
    x = 96,104,894,994,814,369,792/6,381,854,832
  6. Step 6: Final answer
    x = 15,059,085,097.47

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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.