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Finding the Third Proportional to 5,678,097 and 8,584,896

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Solution

The third proportional to 5,678,097 and 8,584,896 is: 12,979,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,097 : 8,584,896 = 8,584,896 : x
  2. Step 2: Convert to fraction form
    5,678,097/8,584,896 = 8,584,896/x
  3. Step 3: Cross multiply
    5,678,097x = 8,584,896 × 8,584,896
  4. Step 4: Simplify right side
    5,678,097x = 73,700,439,330,816
  5. Step 5: Solve for x
    x = 73,700,439,330,816/5,678,097
  6. Step 6: Final answer
    x = 12,979,778.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.