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Finding the Third Proportional to 2,099,389,664 and 4,510,333,818

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Solution

The third proportional to 2,099,389,664 and 4,510,333,818 is: 9,690,012,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,389,664 : 4,510,333,818 = 4,510,333,818 : x
  2. Step 2: Convert to fraction form
    2,099,389,664/4,510,333,818 = 4,510,333,818/x
  3. Step 3: Cross multiply
    2,099,389,664x = 4,510,333,818 × 4,510,333,818
  4. Step 4: Simplify right side
    2,099,389,664x = 20,343,111,149,794,455,552
  5. Step 5: Solve for x
    x = 20,343,111,149,794,455,552/2,099,389,664
  6. Step 6: Final answer
    x = 9,690,012,053.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.