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Finding the Third Proportional to 4,286,752 and 9,246,575

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Solution

The third proportional to 4,286,752 and 9,246,575 is: 19,944,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286,752 : 9,246,575 = 9,246,575 : x
  2. Step 2: Convert to fraction form
    4,286,752/9,246,575 = 9,246,575/x
  3. Step 3: Cross multiply
    4,286,752x = 9,246,575 × 9,246,575
  4. Step 4: Simplify right side
    4,286,752x = 85,499,149,230,625
  5. Step 5: Solve for x
    x = 85,499,149,230,625/4,286,752
  6. Step 6: Final answer
    x = 19,944,972.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.