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Finding the Third Proportional to 6,584,676 and 10,133,808

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Solution

The third proportional to 6,584,676 and 10,133,808 is: 15,595,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,676 : 10,133,808 = 10,133,808 : x
  2. Step 2: Convert to fraction form
    6,584,676/10,133,808 = 10,133,808/x
  3. Step 3: Cross multiply
    6,584,676x = 10,133,808 × 10,133,808
  4. Step 4: Simplify right side
    6,584,676x = 102,694,064,580,864
  5. Step 5: Solve for x
    x = 102,694,064,580,864/6,584,676
  6. Step 6: Final answer
    x = 15,595,917.64

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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.