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Finding the Third Proportional to 7,352,784 and 16,156,924

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Solution

The third proportional to 7,352,784 and 16,156,924 is: 35,503,041.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352,784 : 16,156,924 = 16,156,924 : x
  2. Step 2: Convert to fraction form
    7,352,784/16,156,924 = 16,156,924/x
  3. Step 3: Cross multiply
    7,352,784x = 16,156,924 × 16,156,924
  4. Step 4: Simplify right side
    7,352,784x = 261,046,193,141,776
  5. Step 5: Solve for x
    x = 261,046,193,141,776/7,352,784
  6. Step 6: Final answer
    x = 35,503,041.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.