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Finding the Third Proportional to 14,484,960 and 31,461,036

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Solution

The third proportional to 14,484,960 and 31,461,036 is: 68,332,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484,960 : 31,461,036 = 31,461,036 : x
  2. Step 2: Convert to fraction form
    14,484,960/31,461,036 = 31,461,036/x
  3. Step 3: Cross multiply
    14,484,960x = 31,461,036 × 31,461,036
  4. Step 4: Simplify right side
    14,484,960x = 989,796,786,193,296
  5. Step 5: Solve for x
    x = 989,796,786,193,296/14,484,960
  6. Step 6: Final answer
    x = 68,332,724.85

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Why These Related Problems?

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