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Finding the Third Proportional to 4,078,298,889 and 6,297,607,329

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Solution

The third proportional to 4,078,298,889 and 6,297,607,329 is: 9,724,608,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078,298,889 : 6,297,607,329 = 6,297,607,329 : x
  2. Step 2: Convert to fraction form
    4,078,298,889/6,297,607,329 = 6,297,607,329/x
  3. Step 3: Cross multiply
    4,078,298,889x = 6,297,607,329 × 6,297,607,329
  4. Step 4: Simplify right side
    4,078,298,889x = 39,659,858,070,274,514,944
  5. Step 5: Solve for x
    x = 39,659,858,070,274,514,944/4,078,298,889
  6. Step 6: Final answer
    x = 9,724,608,016.65

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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.