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Finding the Third Proportional to 1,117,368,016 and 2,633,946,658

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Solution

The third proportional to 1,117,368,016 and 2,633,946,658 is: 6,208,943,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,368,016 : 2,633,946,658 = 2,633,946,658 : x
  2. Step 2: Convert to fraction form
    1,117,368,016/2,633,946,658 = 2,633,946,658/x
  3. Step 3: Cross multiply
    1,117,368,016x = 2,633,946,658 × 2,633,946,658
  4. Step 4: Simplify right side
    1,117,368,016x = 6,937,674,997,189,368,832
  5. Step 5: Solve for x
    x = 6,937,674,997,189,368,832/1,117,368,016
  6. Step 6: Final answer
    x = 6,208,943,604.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.