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Finding the Third Proportional to 6,105,902 and 13,261,564

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Solution

The third proportional to 6,105,902 and 13,261,564 is: 28,803,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105,902 : 13,261,564 = 13,261,564 : x
  2. Step 2: Convert to fraction form
    6,105,902/13,261,564 = 13,261,564/x
  3. Step 3: Cross multiply
    6,105,902x = 13,261,564 × 13,261,564
  4. Step 4: Simplify right side
    6,105,902x = 175,869,079,726,096
  5. Step 5: Solve for x
    x = 175,869,079,726,096/6,105,902
  6. Step 6: Final answer
    x = 28,803,128.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.