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Finding the Third Proportional to 6,517,674 and 9,860,382

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Solution

The third proportional to 6,517,674 and 9,860,382 is: 14,917,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517,674 : 9,860,382 = 9,860,382 : x
  2. Step 2: Convert to fraction form
    6,517,674/9,860,382 = 9,860,382/x
  3. Step 3: Cross multiply
    6,517,674x = 9,860,382 × 9,860,382
  4. Step 4: Simplify right side
    6,517,674x = 97,227,133,185,924
  5. Step 5: Solve for x
    x = 97,227,133,185,924/6,517,674
  6. Step 6: Final answer
    x = 14,917,458.77

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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.