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Finding the Third Proportional to 7,864,362 and 10,625,232

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Solution

The third proportional to 7,864,362 and 10,625,232 is: 14,355,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864,362 : 10,625,232 = 10,625,232 : x
  2. Step 2: Convert to fraction form
    7,864,362/10,625,232 = 10,625,232/x
  3. Step 3: Cross multiply
    7,864,362x = 10,625,232 × 10,625,232
  4. Step 4: Simplify right side
    7,864,362x = 112,895,555,053,824
  5. Step 5: Solve for x
    x = 112,895,555,053,824/7,864,362
  6. Step 6: Final answer
    x = 14,355,335.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.