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Finding the Third Proportional to 9,731,520 and 14,017,904

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Solution

The third proportional to 9,731,520 and 14,017,904 is: 20,192,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731,520 : 14,017,904 = 14,017,904 : x
  2. Step 2: Convert to fraction form
    9,731,520/14,017,904 = 14,017,904/x
  3. Step 3: Cross multiply
    9,731,520x = 14,017,904 × 14,017,904
  4. Step 4: Simplify right side
    9,731,520x = 196,501,632,553,216
  5. Step 5: Solve for x
    x = 196,501,632,553,216/9,731,520
  6. Step 6: Final answer
    x = 20,192,285.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.