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Finding the Third Proportional to 6,517,594.88 and 9,860,278.13

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Solution

The third proportional to 6,517,594.88 and 9,860,278.13 is: 14,917,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517,594.88 : 9,860,278.13 = 9,860,278.13 : x
  2. Step 2: Convert to fraction form
    6,517,594.88/9,860,278.13 = 9,860,278.13/x
  3. Step 3: Cross multiply
    6,517,594.88x = 9,860,278.13 × 9,860,278.13
  4. Step 4: Simplify right side
    6,517,594.88x = 97,225,084,702,353.52
  5. Step 5: Solve for x
    x = 97,225,084,702,353.52/6,517,594.88
  6. Step 6: Final answer
    x = 14,917,325.57

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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.