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Finding the Third Proportional to 4,758,063,704 and 10,306,770,352

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Solution

The third proportional to 4,758,063,704 and 10,306,770,352 is: 22,326,206,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758,063,704 : 10,306,770,352 = 10,306,770,352 : x
  2. Step 2: Convert to fraction form
    4,758,063,704/10,306,770,352 = 10,306,770,352/x
  3. Step 3: Cross multiply
    4,758,063,704x = 10,306,770,352 × 10,306,770,352
  4. Step 4: Simplify right side
    4,758,063,704x = 106,229,515,088,866,197,504
  5. Step 5: Solve for x
    x = 106,229,515,088,866,197,504/4,758,063,704
  6. Step 6: Final answer
    x = 22,326,206,981.96

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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.