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Finding the Third Proportional to 7,459,002 and 10,528,324

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Solution

The third proportional to 7,459,002 and 10,528,324 is: 14,860,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459,002 : 10,528,324 = 10,528,324 : x
  2. Step 2: Convert to fraction form
    7,459,002/10,528,324 = 10,528,324/x
  3. Step 3: Cross multiply
    7,459,002x = 10,528,324 × 10,528,324
  4. Step 4: Simplify right side
    7,459,002x = 110,845,606,248,976
  5. Step 5: Solve for x
    x = 110,845,606,248,976/7,459,002
  6. Step 6: Final answer
    x = 14,860,648.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.