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Finding the Third Proportional to 7,669,534 and 16,711,964

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Solution

The third proportional to 7,669,534 and 16,711,964 is: 36,415,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,534 : 16,711,964 = 16,711,964 : x
  2. Step 2: Convert to fraction form
    7,669,534/16,711,964 = 16,711,964/x
  3. Step 3: Cross multiply
    7,669,534x = 16,711,964 × 16,711,964
  4. Step 4: Simplify right side
    7,669,534x = 279,289,740,737,296
  5. Step 5: Solve for x
    x = 279,289,740,737,296/7,669,534
  6. Step 6: Final answer
    x = 36,415,477.23

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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.