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Finding the Third Proportional to 2,099,830,924 and 4,499,174,036

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Solution

The third proportional to 2,099,830,924 and 4,499,174,036 is: 9,640,093,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,830,924 : 4,499,174,036 = 4,499,174,036 : x
  2. Step 2: Convert to fraction form
    2,099,830,924/4,499,174,036 = 4,499,174,036/x
  3. Step 3: Cross multiply
    2,099,830,924x = 4,499,174,036 × 4,499,174,036
  4. Step 4: Simplify right side
    2,099,830,924x = 20,242,567,006,216,527,872
  5. Step 5: Solve for x
    x = 20,242,567,006,216,527,872/2,099,830,924
  6. Step 6: Final answer
    x = 9,640,093,768.91

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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.