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Finding the Third Proportional to 55,292,032 and 119,784,635

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Solution

The third proportional to 55,292,032 and 119,784,635 is: 259,501,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,292,032 : 119,784,635 = 119,784,635 : x
  2. Step 2: Convert to fraction form
    55,292,032/119,784,635 = 119,784,635/x
  3. Step 3: Cross multiply
    55,292,032x = 119,784,635 × 119,784,635
  4. Step 4: Simplify right side
    55,292,032x = 14,348,358,782,083,224
  5. Step 5: Solve for x
    x = 14,348,358,782,083,224/55,292,032
  6. Step 6: Final answer
    x = 259,501,383.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.