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Finding the Third Proportional to 54,394,011 and 117,402,057

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Solution

The third proportional to 54,394,011 and 117,402,057 is: 253,396,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,394,011 : 117,402,057 = 117,402,057 : x
  2. Step 2: Convert to fraction form
    54,394,011/117,402,057 = 117,402,057/x
  3. Step 3: Cross multiply
    54,394,011x = 117,402,057 × 117,402,057
  4. Step 4: Simplify right side
    54,394,011x = 13,783,242,987,831,248
  5. Step 5: Solve for x
    x = 13,783,242,987,831,248/54,394,011
  6. Step 6: Final answer
    x = 253,396,334.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.