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Finding the Third Proportional to 9,947,262 and 14,859,270

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Solution

The third proportional to 9,947,262 and 14,859,270 is: 22,196,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,262 : 14,859,270 = 14,859,270 : x
  2. Step 2: Convert to fraction form
    9,947,262/14,859,270 = 14,859,270/x
  3. Step 3: Cross multiply
    9,947,262x = 14,859,270 × 14,859,270
  4. Step 4: Simplify right side
    9,947,262x = 220,797,904,932,900
  5. Step 5: Solve for x
    x = 220,797,904,932,900/9,947,262
  6. Step 6: Final answer
    x = 22,196,852.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.