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Finding the Third Proportional to 3,243,338,538 and 7,081,182,408

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Solution

The third proportional to 3,243,338,538 and 7,081,182,408 is: 15,460,348,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243,338,538 : 7,081,182,408 = 7,081,182,408 : x
  2. Step 2: Convert to fraction form
    3,243,338,538/7,081,182,408 = 7,081,182,408/x
  3. Step 3: Cross multiply
    3,243,338,538x = 7,081,182,408 × 7,081,182,408
  4. Step 4: Simplify right side
    3,243,338,538x = 50,143,144,295,368,679,424
  5. Step 5: Solve for x
    x = 50,143,144,295,368,679,424/3,243,338,538
  6. Step 6: Final answer
    x = 15,460,348,559.94

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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.