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Finding the Third Proportional to 3,243,338,544 and 7,081,182,420

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Solution

The third proportional to 3,243,338,544 and 7,081,182,420 is: 15,460,348,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243,338,544 : 7,081,182,420 = 7,081,182,420 : x
  2. Step 2: Convert to fraction form
    3,243,338,544/7,081,182,420 = 7,081,182,420/x
  3. Step 3: Cross multiply
    3,243,338,544x = 7,081,182,420 × 7,081,182,420
  4. Step 4: Simplify right side
    3,243,338,544x = 50,143,144,465,317,052,416
  5. Step 5: Solve for x
    x = 50,143,144,465,317,052,416/3,243,338,544
  6. Step 6: Final answer
    x = 15,460,348,583.74

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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.