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Finding the Third Proportional to 7,669,528 and 16,711,951

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Solution

The third proportional to 7,669,528 and 16,711,951 is: 36,415,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,528 : 16,711,951 = 16,711,951 : x
  2. Step 2: Convert to fraction form
    7,669,528/16,711,951 = 16,711,951/x
  3. Step 3: Cross multiply
    7,669,528x = 16,711,951 × 16,711,951
  4. Step 4: Simplify right side
    7,669,528x = 279,289,306,226,401
  5. Step 5: Solve for x
    x = 279,289,306,226,401/7,669,528
  6. Step 6: Final answer
    x = 36,415,449.06

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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.