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Finding the Third Proportional to 4,078,298,896 and 6,297,607,218

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Solution

The third proportional to 4,078,298,896 and 6,297,607,218 is: 9,724,607,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078,298,896 : 6,297,607,218 = 6,297,607,218 : x
  2. Step 2: Convert to fraction form
    4,078,298,896/6,297,607,218 = 6,297,607,218/x
  3. Step 3: Cross multiply
    4,078,298,896x = 6,297,607,218 × 6,297,607,218
  4. Step 4: Simplify right side
    4,078,298,896x = 39,659,856,672,205,701,120
  5. Step 5: Solve for x
    x = 39,659,856,672,205,701,120/4,078,298,896
  6. Step 6: Final answer
    x = 9,724,607,657.15

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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.