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Finding the Third Proportional to 3,006,663 and 6,556,020.50

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Solution

The third proportional to 3,006,663 and 6,556,020.50 is: 14,295,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006,663 : 6,556,020.50 = 6,556,020.50 : x
  2. Step 2: Convert to fraction form
    3,006,663/6,556,020.50 = 6,556,020.50/x
  3. Step 3: Cross multiply
    3,006,663x = 6,556,020.50 × 6,556,020.50
  4. Step 4: Simplify right side
    3,006,663x = 42,981,404,796,420.25
  5. Step 5: Solve for x
    x = 42,981,404,796,420.25/3,006,663
  6. Step 6: Final answer
    x = 14,295,384.88

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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.