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Finding the Third Proportional to 6,773,306.06 and 9,655,493.63

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Solution

The third proportional to 6,773,306.06 and 9,655,493.63 is: 13,764,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773,306.06 : 9,655,493.63 = 9,655,493.63 : x
  2. Step 2: Convert to fraction form
    6,773,306.06/9,655,493.63 = 9,655,493.63/x
  3. Step 3: Cross multiply
    6,773,306.06x = 9,655,493.63 × 9,655,493.63
  4. Step 4: Simplify right side
    6,773,306.06x = 93,228,557,142,415.64
  5. Step 5: Solve for x
    x = 93,228,557,142,415.64/6,773,306.06
  6. Step 6: Final answer
    x = 13,764,114.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.