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Finding the Third Proportional to 1,306,081,736 and 2,841,735,760

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Solution

The third proportional to 1,306,081,736 and 2,841,735,760 is: 6,182,968,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,081,736 : 2,841,735,760 = 2,841,735,760 : x
  2. Step 2: Convert to fraction form
    1,306,081,736/2,841,735,760 = 2,841,735,760/x
  3. Step 3: Cross multiply
    1,306,081,736x = 2,841,735,760 × 2,841,735,760
  4. Step 4: Simplify right side
    1,306,081,736x = 8,075,462,129,662,777,344
  5. Step 5: Solve for x
    x = 8,075,462,129,662,777,344/1,306,081,736
  6. Step 6: Final answer
    x = 6,182,968,421.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.