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Finding the Third Proportional to 9,518,625 and 14,299,038

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Solution

The third proportional to 9,518,625 and 14,299,038 is: 21,480,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518,625 : 14,299,038 = 14,299,038 : x
  2. Step 2: Convert to fraction form
    9,518,625/14,299,038 = 14,299,038/x
  3. Step 3: Cross multiply
    9,518,625x = 14,299,038 × 14,299,038
  4. Step 4: Simplify right side
    9,518,625x = 204,462,487,725,444
  5. Step 5: Solve for x
    x = 204,462,487,725,444/9,518,625
  6. Step 6: Final answer
    x = 21,480,254.52

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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.