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Finding the Third Proportional to 9,984,785,865.05 and 21,966,493,979.95

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Solution

The third proportional to 9,984,785,865.05 and 21,966,493,979.95 is: 48,326,209,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984,785,865.05 : 21,966,493,979.95 = 21,966,493,979.95 : x
  2. Step 2: Convert to fraction form
    9,984,785,865.05/21,966,493,979.95 = 21,966,493,979.95/x
  3. Step 3: Cross multiply
    9,984,785,865.05x = 21,966,493,979.95 × 21,966,493,979.95
  4. Step 4: Simplify right side
    9,984,785,865.05x = 482,526,857,771,311,366,144
  5. Step 5: Solve for x
    x = 482,526,857,771,311,366,144/9,984,785,865.05
  6. Step 6: Final answer
    x = 48,326,209,925.09

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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.