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Finding the Third Proportional to 3,673,922 and 7,784,900

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Solution

The third proportional to 3,673,922 and 7,784,900 is: 16,495,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673,922 : 7,784,900 = 7,784,900 : x
  2. Step 2: Convert to fraction form
    3,673,922/7,784,900 = 7,784,900/x
  3. Step 3: Cross multiply
    3,673,922x = 7,784,900 × 7,784,900
  4. Step 4: Simplify right side
    3,673,922x = 60,604,668,010,000
  5. Step 5: Solve for x
    x = 60,604,668,010,000/3,673,922
  6. Step 6: Final answer
    x = 16,495,904.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.