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Finding the Third Proportional to 9,971,037 and 21,689,101

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Solution

The third proportional to 9,971,037 and 21,689,101 is: 47,178,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,037 : 21,689,101 = 21,689,101 : x
  2. Step 2: Convert to fraction form
    9,971,037/21,689,101 = 21,689,101/x
  3. Step 3: Cross multiply
    9,971,037x = 21,689,101 × 21,689,101
  4. Step 4: Simplify right side
    9,971,037x = 470,417,102,188,201
  5. Step 5: Solve for x
    x = 470,417,102,188,201/9,971,037
  6. Step 6: Final answer
    x = 47,178,352.88

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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.