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Finding the Third Proportional to 4,711,357,363 and 10,207,887,424

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Solution

The third proportional to 4,711,357,363 and 10,207,887,424 is: 22,116,973,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711,357,363 : 10,207,887,424 = 10,207,887,424 : x
  2. Step 2: Convert to fraction form
    4,711,357,363/10,207,887,424 = 10,207,887,424/x
  3. Step 3: Cross multiply
    4,711,357,363x = 10,207,887,424 × 10,207,887,424
  4. Step 4: Simplify right side
    4,711,357,363x = 104,200,965,661,057,351,680
  5. Step 5: Solve for x
    x = 104,200,965,661,057,351,680/4,711,357,363
  6. Step 6: Final answer
    x = 22,116,973,439.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.