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Finding the Third Proportional to 4,078,298,906 and 6,297,607,234

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Solution

The third proportional to 4,078,298,906 and 6,297,607,234 is: 9,724,607,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078,298,906 : 6,297,607,234 = 6,297,607,234 : x
  2. Step 2: Convert to fraction form
    4,078,298,906/6,297,607,234 = 6,297,607,234/x
  3. Step 3: Cross multiply
    4,078,298,906x = 6,297,607,234 × 6,297,607,234
  4. Step 4: Simplify right side
    4,078,298,906x = 39,659,856,873,729,130,496
  5. Step 5: Solve for x
    x = 39,659,856,873,729,130,496/4,078,298,906
  6. Step 6: Final answer
    x = 9,724,607,682.72

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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.