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Finding the Third Proportional to 6,214,920 and 13,559,600

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Solution

The third proportional to 6,214,920 and 13,559,600 is: 29,584,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,920 : 13,559,600 = 13,559,600 : x
  2. Step 2: Convert to fraction form
    6,214,920/13,559,600 = 13,559,600/x
  3. Step 3: Cross multiply
    6,214,920x = 13,559,600 × 13,559,600
  4. Step 4: Simplify right side
    6,214,920x = 183,862,752,160,000
  5. Step 5: Solve for x
    x = 183,862,752,160,000/6,214,920
  6. Step 6: Final answer
    x = 29,584,089.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.