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Finding the Third Proportional to 22,251,963,204 and 47,156,879,880

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Solution

The third proportional to 22,251,963,204 and 47,156,879,880 is: 99,935,960,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251,963,204 : 47,156,879,880 = 47,156,879,880 : x
  2. Step 2: Convert to fraction form
    22,251,963,204/47,156,879,880 = 47,156,879,880/x
  3. Step 3: Cross multiply
    22,251,963,204x = 47,156,879,880 × 47,156,879,880
  4. Step 4: Simplify right side
    22,251,963,204x = 2,223,771,320,016,748,937,216
  5. Step 5: Solve for x
    x = 2,223,771,320,016,748,937,216/22,251,963,204
  6. Step 6: Final answer
    x = 99,935,960,689.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.