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Finding the Third Proportional to 11,461,440 and 17,146,775

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Solution

The third proportional to 11,461,440 and 17,146,775 is: 25,652,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461,440 : 17,146,775 = 17,146,775 : x
  2. Step 2: Convert to fraction form
    11,461,440/17,146,775 = 17,146,775/x
  3. Step 3: Cross multiply
    11,461,440x = 17,146,775 × 17,146,775
  4. Step 4: Simplify right side
    11,461,440x = 294,011,892,900,625
  5. Step 5: Solve for x
    x = 294,011,892,900,625/11,461,440
  6. Step 6: Final answer
    x = 25,652,264.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.