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Finding the Third Proportional to 1,852,162,216 and 3,856,749,584

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Solution

The third proportional to 1,852,162,216 and 3,856,749,584 is: 8,030,893,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852,162,216 : 3,856,749,584 = 3,856,749,584 : x
  2. Step 2: Convert to fraction form
    1,852,162,216/3,856,749,584 = 3,856,749,584/x
  3. Step 3: Cross multiply
    1,852,162,216x = 3,856,749,584 × 3,856,749,584
  4. Step 4: Simplify right side
    1,852,162,216x = 14,874,517,353,684,172,800
  5. Step 5: Solve for x
    x = 14,874,517,353,684,172,800/1,852,162,216
  6. Step 6: Final answer
    x = 8,030,893,420.24

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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.