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Finding the Third Proportional to 4,214,522 and 9,102,964

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Solution

The third proportional to 4,214,522 and 9,102,964 is: 19,661,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214,522 : 9,102,964 = 9,102,964 : x
  2. Step 2: Convert to fraction form
    4,214,522/9,102,964 = 9,102,964/x
  3. Step 3: Cross multiply
    4,214,522x = 9,102,964 × 9,102,964
  4. Step 4: Simplify right side
    4,214,522x = 82,863,953,585,296
  5. Step 5: Solve for x
    x = 82,863,953,585,296/4,214,522
  6. Step 6: Final answer
    x = 19,661,530.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.