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Finding the Third Proportional to 5,748,541.50 and 12,517,683

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Solution

The third proportional to 5,748,541.50 and 12,517,683 is: 27,257,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,541.50 : 12,517,683 = 12,517,683 : x
  2. Step 2: Convert to fraction form
    5,748,541.50/12,517,683 = 12,517,683/x
  3. Step 3: Cross multiply
    5,748,541.50x = 12,517,683 × 12,517,683
  4. Step 4: Simplify right side
    5,748,541.50x = 156,692,387,688,489
  5. Step 5: Solve for x
    x = 156,692,387,688,489/5,748,541.50
  6. Step 6: Final answer
    x = 27,257,764.02

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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.