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Finding the Third Proportional to 6,517,600.88 and 9,860,288.63

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Solution

The third proportional to 6,517,600.88 and 9,860,288.63 is: 14,917,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517,600.88 : 9,860,288.63 = 9,860,288.63 : x
  2. Step 2: Convert to fraction form
    6,517,600.88/9,860,288.63 = 9,860,288.63/x
  3. Step 3: Cross multiply
    6,517,600.88x = 9,860,288.63 × 9,860,288.63
  4. Step 4: Simplify right side
    6,517,600.88x = 97,225,291,768,304.39
  5. Step 5: Solve for x
    x = 97,225,291,768,304.39/6,517,600.88
  6. Step 6: Final answer
    x = 14,917,343.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.