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Finding the Third Proportional to 4,078,298,910 and 6,297,607,320

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Solution

The third proportional to 4,078,298,910 and 6,297,607,320 is: 9,724,607,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078,298,910 : 6,297,607,320 = 6,297,607,320 : x
  2. Step 2: Convert to fraction form
    4,078,298,910/6,297,607,320 = 6,297,607,320/x
  3. Step 3: Cross multiply
    4,078,298,910x = 6,297,607,320 × 6,297,607,320
  4. Step 4: Simplify right side
    4,078,298,910x = 39,659,857,956,917,583,872
  5. Step 5: Solve for x
    x = 39,659,857,956,917,583,872/4,078,298,910
  6. Step 6: Final answer
    x = 9,724,607,938.78

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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.