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Finding the Third Proportional to 2,563,361,355 and 5,262,614,142

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Solution

The third proportional to 2,563,361,355 and 5,262,614,142 is: 10,804,215,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,361,355 : 5,262,614,142 = 5,262,614,142 : x
  2. Step 2: Convert to fraction form
    2,563,361,355/5,262,614,142 = 5,262,614,142/x
  3. Step 3: Cross multiply
    2,563,361,355x = 5,262,614,142 × 5,262,614,142
  4. Step 4: Simplify right side
    2,563,361,355x = 27,695,107,607,578,394,624
  5. Step 5: Solve for x
    x = 27,695,107,607,578,394,624/2,563,361,355
  6. Step 6: Final answer
    x = 10,804,215,158.18

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.