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Finding the Third Proportional to 2,395,410,762 and 5,212,623,651

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Solution

The third proportional to 2,395,410,762 and 5,212,623,651 is: 11,343,125,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395,410,762 : 5,212,623,651 = 5,212,623,651 : x
  2. Step 2: Convert to fraction form
    2,395,410,762/5,212,623,651 = 5,212,623,651/x
  3. Step 3: Cross multiply
    2,395,410,762x = 5,212,623,651 × 5,212,623,651
  4. Step 4: Simplify right side
    2,395,410,762x = 27,171,445,326,964,568,064
  5. Step 5: Solve for x
    x = 27,171,445,326,964,568,064/2,395,410,762
  6. Step 6: Final answer
    x = 11,343,125,679.32

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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.