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Finding the Third Proportional to 6,969,493.13 and 14,947,436.25

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Solution

The third proportional to 6,969,493.13 and 14,947,436.25 is: 32,057,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969,493.13 : 14,947,436.25 = 14,947,436.25 : x
  2. Step 2: Convert to fraction form
    6,969,493.13/14,947,436.25 = 14,947,436.25/x
  3. Step 3: Cross multiply
    6,969,493.13x = 14,947,436.25 × 14,947,436.25
  4. Step 4: Simplify right side
    6,969,493.13x = 223,425,850,447,814.06
  5. Step 5: Solve for x
    x = 223,425,850,447,814.06/6,969,493.13
  6. Step 6: Final answer
    x = 32,057,690.06

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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.