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Finding the Third Proportional to 2,718,863,721 and 4,198,401,225

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Solution

The third proportional to 2,718,863,721 and 4,198,401,225 is: 6,483,065,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718,863,721 : 4,198,401,225 = 4,198,401,225 : x
  2. Step 2: Convert to fraction form
    2,718,863,721/4,198,401,225 = 4,198,401,225/x
  3. Step 3: Cross multiply
    2,718,863,721x = 4,198,401,225 × 4,198,401,225
  4. Step 4: Simplify right side
    2,718,863,721x = 17,626,572,846,081,501,184
  5. Step 5: Solve for x
    x = 17,626,572,846,081,501,184/2,718,863,721
  6. Step 6: Final answer
    x = 6,483,065,962.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.