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Finding the Third Proportional to 6,777,088 and 14,881,280

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Solution

The third proportional to 6,777,088 and 14,881,280 is: 32,676,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777,088 : 14,881,280 = 14,881,280 : x
  2. Step 2: Convert to fraction form
    6,777,088/14,881,280 = 14,881,280/x
  3. Step 3: Cross multiply
    6,777,088x = 14,881,280 × 14,881,280
  4. Step 4: Simplify right side
    6,777,088x = 221,452,494,438,400
  5. Step 5: Solve for x
    x = 221,452,494,438,400/6,777,088
  6. Step 6: Final answer
    x = 32,676,644.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.