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Finding the Third Proportional to 6,116,517 and 8,572,257

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Solution

The third proportional to 6,116,517 and 8,572,257 is: 12,013,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116,517 : 8,572,257 = 8,572,257 : x
  2. Step 2: Convert to fraction form
    6,116,517/8,572,257 = 8,572,257/x
  3. Step 3: Cross multiply
    6,116,517x = 8,572,257 × 8,572,257
  4. Step 4: Simplify right side
    6,116,517x = 73,483,590,074,049
  5. Step 5: Solve for x
    x = 73,483,590,074,049/6,116,517
  6. Step 6: Final answer
    x = 12,013,959.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.