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Finding the Third Proportional to 7,864,374 and 10,625,250

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Solution

The third proportional to 7,864,374 and 10,625,250 is: 14,355,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864,374 : 10,625,250 = 10,625,250 : x
  2. Step 2: Convert to fraction form
    7,864,374/10,625,250 = 10,625,250/x
  3. Step 3: Cross multiply
    7,864,374x = 10,625,250 × 10,625,250
  4. Step 4: Simplify right side
    7,864,374x = 112,895,937,562,500
  5. Step 5: Solve for x
    x = 112,895,937,562,500/7,864,374
  6. Step 6: Final answer
    x = 14,355,362.24

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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.