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Finding the Third Proportional to 821,285,576 and 1,710,508,120

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Solution

The third proportional to 821,285,576 and 1,710,508,120 is: 3,562,509,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,285,576 : 1,710,508,120 = 1,710,508,120 : x
  2. Step 2: Convert to fraction form
    821,285,576/1,710,508,120 = 1,710,508,120/x
  3. Step 3: Cross multiply
    821,285,576x = 1,710,508,120 × 1,710,508,120
  4. Step 4: Simplify right side
    821,285,576x = 2,925,838,028,585,934,336
  5. Step 5: Solve for x
    x = 2,925,838,028,585,934,336/821,285,576
  6. Step 6: Final answer
    x = 3,562,509,940.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.