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Finding the Third Proportional to 6,069,051.56 and 13,003,769.53

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Solution

The third proportional to 6,069,051.56 and 13,003,769.53 is: 27,862,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069,051.56 : 13,003,769.53 = 13,003,769.53 : x
  2. Step 2: Convert to fraction form
    6,069,051.56/13,003,769.53 = 13,003,769.53/x
  3. Step 3: Cross multiply
    6,069,051.56x = 13,003,769.53 × 13,003,769.53
  4. Step 4: Simplify right side
    6,069,051.56x = 169,098,022,021,865.84
  5. Step 5: Solve for x
    x = 169,098,022,021,865.84/6,069,051.56
  6. Step 6: Final answer
    x = 27,862,347.24

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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.