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Finding the Third Proportional to 6,477,129 and 13,851,069.75

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Solution

The third proportional to 6,477,129 and 13,851,069.75 is: 29,619,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,129 : 13,851,069.75 = 13,851,069.75 : x
  2. Step 2: Convert to fraction form
    6,477,129/13,851,069.75 = 13,851,069.75/x
  3. Step 3: Cross multiply
    6,477,129x = 13,851,069.75 × 13,851,069.75
  4. Step 4: Simplify right side
    6,477,129x = 191,852,133,219,365.06
  5. Step 5: Solve for x
    x = 191,852,133,219,365.06/6,477,129
  6. Step 6: Final answer
    x = 29,619,933.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.