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Finding the Third Proportional to 2,099,830,846 and 4,499,173,887

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Solution

The third proportional to 2,099,830,846 and 4,499,173,887 is: 9,640,093,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,830,846 : 4,499,173,887 = 4,499,173,887 : x
  2. Step 2: Convert to fraction form
    2,099,830,846/4,499,173,887 = 4,499,173,887/x
  3. Step 3: Cross multiply
    2,099,830,846x = 4,499,173,887 × 4,499,173,887
  4. Step 4: Simplify right side
    2,099,830,846x = 20,242,565,665,462,689,792
  5. Step 5: Solve for x
    x = 20,242,565,665,462,689,792/2,099,830,846
  6. Step 6: Final answer
    x = 9,640,093,488.49

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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.