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Finding the Third Proportional to 1,201,990,047 and 2,610,895,855

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Solution

The third proportional to 1,201,990,047 and 2,610,895,855 is: 5,671,242,605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,990,047 : 2,610,895,855 = 2,610,895,855 : x
  2. Step 2: Convert to fraction form
    1,201,990,047/2,610,895,855 = 2,610,895,855/x
  3. Step 3: Cross multiply
    1,201,990,047x = 2,610,895,855 × 2,610,895,855
  4. Step 4: Simplify right side
    1,201,990,047x = 6,816,777,165,656,180,736
  5. Step 5: Solve for x
    x = 6,816,777,165,656,180,736/1,201,990,047
  6. Step 6: Final answer
    x = 5,671,242,605.27

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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.