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Finding the Third Proportional to 48,487,047 and 107,735,796

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Solution

The third proportional to 48,487,047 and 107,735,796 is: 239,383,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,487,047 : 107,735,796 = 107,735,796 : x
  2. Step 2: Convert to fraction form
    48,487,047/107,735,796 = 107,735,796/x
  3. Step 3: Cross multiply
    48,487,047x = 107,735,796 × 107,735,796
  4. Step 4: Simplify right side
    48,487,047x = 11,607,001,739,753,616
  5. Step 5: Solve for x
    x = 11,607,001,739,753,616/48,487,047
  6. Step 6: Final answer
    x = 239,383,556.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.