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Finding the Third Proportional to 8,240,738.63 and 12,122,913.38

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Solution

The third proportional to 8,240,738.63 and 12,122,913.38 is: 17,833,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240,738.63 : 12,122,913.38 = 12,122,913.38 : x
  2. Step 2: Convert to fraction form
    8,240,738.63/12,122,913.38 = 12,122,913.38/x
  3. Step 3: Cross multiply
    8,240,738.63x = 12,122,913.38 × 12,122,913.38
  4. Step 4: Simplify right side
    8,240,738.63x = 146,965,028,697,753.88
  5. Step 5: Solve for x
    x = 146,965,028,697,753.88/8,240,738.63
  6. Step 6: Final answer
    x = 17,833,963.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.