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Finding the Third Proportional to 8,684,475 and 12,774,106

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Solution

The third proportional to 8,684,475 and 12,774,106 is: 18,789,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684,475 : 12,774,106 = 12,774,106 : x
  2. Step 2: Convert to fraction form
    8,684,475/12,774,106 = 12,774,106/x
  3. Step 3: Cross multiply
    8,684,475x = 12,774,106 × 12,774,106
  4. Step 4: Simplify right side
    8,684,475x = 163,177,784,099,236
  5. Step 5: Solve for x
    x = 163,177,784,099,236/8,684,475
  6. Step 6: Final answer
    x = 18,789,596.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.