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Finding the Third Proportional to 3,426,413,821 and 4,623,036,744

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Solution

The third proportional to 3,426,413,821 and 4,623,036,744 is: 6,237,562,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426,413,821 : 4,623,036,744 = 4,623,036,744 : x
  2. Step 2: Convert to fraction form
    3,426,413,821/4,623,036,744 = 4,623,036,744/x
  3. Step 3: Cross multiply
    3,426,413,821x = 4,623,036,744 × 4,623,036,744
  4. Step 4: Simplify right side
    3,426,413,821x = 21,372,468,736,374,120,448
  5. Step 5: Solve for x
    x = 21,372,468,736,374,120,448/3,426,413,821
  6. Step 6: Final answer
    x = 6,237,562,026.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.