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Finding the Third Proportional to 33,209,894 and 72,957,784

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Solution

The third proportional to 33,209,894 and 72,957,784 is: 160,278,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209,894 : 72,957,784 = 72,957,784 : x
  2. Step 2: Convert to fraction form
    33,209,894/72,957,784 = 72,957,784/x
  3. Step 3: Cross multiply
    33,209,894x = 72,957,784 × 72,957,784
  4. Step 4: Simplify right side
    33,209,894x = 5,322,838,246,190,656
  5. Step 5: Solve for x
    x = 5,322,838,246,190,656/33,209,894
  6. Step 6: Final answer
    x = 160,278,688.22

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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.