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Finding the Third Proportional to 14,197,108 and 30,881,696

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Solution

The third proportional to 14,197,108 and 30,881,696 is: 67,174,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197,108 : 30,881,696 = 30,881,696 : x
  2. Step 2: Convert to fraction form
    14,197,108/30,881,696 = 30,881,696/x
  3. Step 3: Cross multiply
    14,197,108x = 30,881,696 × 30,881,696
  4. Step 4: Simplify right side
    14,197,108x = 953,679,147,836,416
  5. Step 5: Solve for x
    x = 953,679,147,836,416/14,197,108
  6. Step 6: Final answer
    x = 67,174,184.20

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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.