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Finding the Third Proportional to 2,395,410,705 and 5,212,623,542.63

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Solution

The third proportional to 2,395,410,705 and 5,212,623,542.63 is: 11,343,125,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395,410,705 : 5,212,623,542.63 = 5,212,623,542.63 : x
  2. Step 2: Convert to fraction form
    2,395,410,705/5,212,623,542.63 = 5,212,623,542.63/x
  3. Step 3: Cross multiply
    2,395,410,705x = 5,212,623,542.63 × 5,212,623,542.63
  4. Step 4: Simplify right side
    2,395,410,705x = 27,171,444,197,128,404,992
  5. Step 5: Solve for x
    x = 27,171,444,197,128,404,992/2,395,410,705
  6. Step 6: Final answer
    x = 11,343,125,477.57

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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.