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Finding the Third Proportional to 9,462,402 and 14,824,323

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Solution

The third proportional to 9,462,402 and 14,824,323 is: 23,224,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462,402 : 14,824,323 = 14,824,323 : x
  2. Step 2: Convert to fraction form
    9,462,402/14,824,323 = 14,824,323/x
  3. Step 3: Cross multiply
    9,462,402x = 14,824,323 × 14,824,323
  4. Step 4: Simplify right side
    9,462,402x = 219,760,552,408,329
  5. Step 5: Solve for x
    x = 219,760,552,408,329/9,462,402
  6. Step 6: Final answer
    x = 23,224,605.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.