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Finding the Third Proportional to 8,512,153 and 12,856,501

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Solution

The third proportional to 8,512,153 and 12,856,501 is: 19,418,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512,153 : 12,856,501 = 12,856,501 : x
  2. Step 2: Convert to fraction form
    8,512,153/12,856,501 = 12,856,501/x
  3. Step 3: Cross multiply
    8,512,153x = 12,856,501 × 12,856,501
  4. Step 4: Simplify right side
    8,512,153x = 165,289,617,963,001
  5. Step 5: Solve for x
    x = 165,289,617,963,001/8,512,153
  6. Step 6: Final answer
    x = 19,418,074.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.