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Finding the Third Proportional to 381,236,683.50 and 832,387,869

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Solution

The third proportional to 381,236,683.50 and 832,387,869 is: 1,817,426,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,236,683.50 : 832,387,869 = 832,387,869 : x
  2. Step 2: Convert to fraction form
    381,236,683.50/832,387,869 = 832,387,869/x
  3. Step 3: Cross multiply
    381,236,683.50x = 832,387,869 × 832,387,869
  4. Step 4: Simplify right side
    381,236,683.50x = 692,869,564,458,361,216
  5. Step 5: Solve for x
    x = 692,869,564,458,361,216/381,236,683.50
  6. Step 6: Final answer
    x = 1,817,426,272.04

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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.