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Finding the Third Proportional to 8,216,160 and 12,019,920

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Solution

The third proportional to 8,216,160 and 12,019,920 is: 17,584,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,160 : 12,019,920 = 12,019,920 : x
  2. Step 2: Convert to fraction form
    8,216,160/12,019,920 = 12,019,920/x
  3. Step 3: Cross multiply
    8,216,160x = 12,019,920 × 12,019,920
  4. Step 4: Simplify right side
    8,216,160x = 144,478,476,806,400
  5. Step 5: Solve for x
    x = 144,478,476,806,400/8,216,160
  6. Step 6: Final answer
    x = 17,584,671.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.