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Finding the Third Proportional to 7,865,559 and 16,824,132

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Solution

The third proportional to 7,865,559 and 16,824,132 is: 35,986,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865,559 : 16,824,132 = 16,824,132 : x
  2. Step 2: Convert to fraction form
    7,865,559/16,824,132 = 16,824,132/x
  3. Step 3: Cross multiply
    7,865,559x = 16,824,132 × 16,824,132
  4. Step 4: Simplify right side
    7,865,559x = 283,051,417,553,424
  5. Step 5: Solve for x
    x = 283,051,417,553,424/7,865,559
  6. Step 6: Final answer
    x = 35,986,179.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.