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Finding the Third Proportional to 1,206,389,111 and 2,603,322,785

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Solution

The third proportional to 1,206,389,111 and 2,603,322,785 is: 5,617,830,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,389,111 : 2,603,322,785 = 2,603,322,785 : x
  2. Step 2: Convert to fraction form
    1,206,389,111/2,603,322,785 = 2,603,322,785/x
  3. Step 3: Cross multiply
    1,206,389,111x = 2,603,322,785 × 2,603,322,785
  4. Step 4: Simplify right side
    1,206,389,111x = 6,777,289,522,900,156,416
  5. Step 5: Solve for x
    x = 6,777,289,522,900,156,416/1,206,389,111
  6. Step 6: Final answer
    x = 5,617,830,483.63

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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.