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Finding the Third Proportional to 5,060,014.73 and 7,772,737.64

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Solution

The third proportional to 5,060,014.73 and 7,772,737.64 is: 11,939,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060,014.73 : 7,772,737.64 = 7,772,737.64 : x
  2. Step 2: Convert to fraction form
    5,060,014.73/7,772,737.64 = 7,772,737.64/x
  3. Step 3: Cross multiply
    5,060,014.73x = 7,772,737.64 × 7,772,737.64
  4. Step 4: Simplify right side
    5,060,014.73x = 60,415,450,429,988.70
  5. Step 5: Solve for x
    x = 60,415,450,429,988.70/5,060,014.73
  6. Step 6: Final answer
    x = 11,939,777.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.