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Finding the Third Proportional to 4,583,923,488 and 9,821,320,470

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Solution

The third proportional to 4,583,923,488 and 9,821,320,470 is: 21,042,745,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583,923,488 : 9,821,320,470 = 9,821,320,470 : x
  2. Step 2: Convert to fraction form
    4,583,923,488/9,821,320,470 = 9,821,320,470/x
  3. Step 3: Cross multiply
    4,583,923,488x = 9,821,320,470 × 9,821,320,470
  4. Step 4: Simplify right side
    4,583,923,488x = 96,458,335,774,441,013,248
  5. Step 5: Solve for x
    x = 96,458,335,774,441,013,248/4,583,923,488
  6. Step 6: Final answer
    x = 21,042,745,592.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.