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Finding the Third Proportional to 5,978,477.74 and 8,966,158.95

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Solution

The third proportional to 5,978,477.74 and 8,966,158.95 is: 13,446,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978,477.74 : 8,966,158.95 = 8,966,158.95 : x
  2. Step 2: Convert to fraction form
    5,978,477.74/8,966,158.95 = 8,966,158.95/x
  3. Step 3: Cross multiply
    5,978,477.74x = 8,966,158.95 × 8,966,158.95
  4. Step 4: Simplify right side
    5,978,477.74x = 80,392,006,232,607.36
  5. Step 5: Solve for x
    x = 80,392,006,232,607.36/5,978,477.74
  6. Step 6: Final answer
    x = 13,446,902.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.