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Finding the Third Proportional to 14,197,098 and 30,881,674

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Solution

The third proportional to 14,197,098 and 30,881,674 is: 67,174,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197,098 : 30,881,674 = 30,881,674 : x
  2. Step 2: Convert to fraction form
    14,197,098/30,881,674 = 30,881,674/x
  3. Step 3: Cross multiply
    14,197,098x = 30,881,674 × 30,881,674
  4. Step 4: Simplify right side
    14,197,098x = 953,677,789,042,276
  5. Step 5: Solve for x
    x = 953,677,789,042,276/14,197,098
  6. Step 6: Final answer
    x = 67,174,135.80

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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.