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Finding the Third Proportional to 821,285,578 and 1,710,508,124

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Solution

The third proportional to 821,285,578 and 1,710,508,124 is: 3,562,509,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,285,578 : 1,710,508,124 = 1,710,508,124 : x
  2. Step 2: Convert to fraction form
    821,285,578/1,710,508,124 = 1,710,508,124/x
  3. Step 3: Cross multiply
    821,285,578x = 1,710,508,124 × 1,710,508,124
  4. Step 4: Simplify right side
    821,285,578x = 2,925,838,042,269,999,616
  5. Step 5: Solve for x
    x = 2,925,838,042,269,999,616/821,285,578
  6. Step 6: Final answer
    x = 3,562,509,948.60

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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.