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Finding the Third Proportional to 8,347,008 and 13,267,584

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Solution

The third proportional to 8,347,008 and 13,267,584 is: 21,088,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347,008 : 13,267,584 = 13,267,584 : x
  2. Step 2: Convert to fraction form
    8,347,008/13,267,584 = 13,267,584/x
  3. Step 3: Cross multiply
    8,347,008x = 13,267,584 × 13,267,584
  4. Step 4: Simplify right side
    8,347,008x = 176,028,785,197,056
  5. Step 5: Solve for x
    x = 176,028,785,197,056/8,347,008
  6. Step 6: Final answer
    x = 21,088,848.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.