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Finding the Third Proportional to 1,201,990,052 and 2,610,895,867

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Solution

The third proportional to 1,201,990,052 and 2,610,895,867 is: 5,671,242,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,990,052 : 2,610,895,867 = 2,610,895,867 : x
  2. Step 2: Convert to fraction form
    1,201,990,052/2,610,895,867 = 2,610,895,867/x
  3. Step 3: Cross multiply
    1,201,990,052x = 2,610,895,867 × 2,610,895,867
  4. Step 4: Simplify right side
    1,201,990,052x = 6,816,777,228,317,681,664
  5. Step 5: Solve for x
    x = 6,816,777,228,317,681,664/1,201,990,052
  6. Step 6: Final answer
    x = 5,671,242,633.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.