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Finding the Third Proportional to 14,441,217 and 31,716,942

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Solution

The third proportional to 14,441,217 and 31,716,942 is: 69,659,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441,217 : 31,716,942 = 31,716,942 : x
  2. Step 2: Convert to fraction form
    14,441,217/31,716,942 = 31,716,942/x
  3. Step 3: Cross multiply
    14,441,217x = 31,716,942 × 31,716,942
  4. Step 4: Simplify right side
    14,441,217x = 1,005,964,409,831,364
  5. Step 5: Solve for x
    x = 1,005,964,409,831,364/14,441,217
  6. Step 6: Final answer
    x = 69,659,254.47

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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.