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Finding the Third Proportional to 6,419,322.50 and 13,849,777

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Solution

The third proportional to 6,419,322.50 and 13,849,777 is: 29,881,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,322.50 : 13,849,777 = 13,849,777 : x
  2. Step 2: Convert to fraction form
    6,419,322.50/13,849,777 = 13,849,777/x
  3. Step 3: Cross multiply
    6,419,322.50x = 13,849,777 × 13,849,777
  4. Step 4: Simplify right side
    6,419,322.50x = 191,816,322,949,729
  5. Step 5: Solve for x
    x = 191,816,322,949,729/6,419,322.50
  6. Step 6: Final answer
    x = 29,881,085.26

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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.