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Finding the Third Proportional to 3,068,625,158 and 6,616,230,298

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Solution

The third proportional to 3,068,625,158 and 6,616,230,298 is: 14,265,184,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068,625,158 : 6,616,230,298 = 6,616,230,298 : x
  2. Step 2: Convert to fraction form
    3,068,625,158/6,616,230,298 = 6,616,230,298/x
  3. Step 3: Cross multiply
    3,068,625,158x = 6,616,230,298 × 6,616,230,298
  4. Step 4: Simplify right side
    3,068,625,158x = 43,774,503,356,173,172,736
  5. Step 5: Solve for x
    x = 43,774,503,356,173,172,736/3,068,625,158
  6. Step 6: Final answer
    x = 14,265,184,277.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.