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Finding the Third Proportional to 3,644,430,288 and 5,442,763,800

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Solution

The third proportional to 3,644,430,288 and 5,442,763,800 is: 8,128,479,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,430,288 : 5,442,763,800 = 5,442,763,800 : x
  2. Step 2: Convert to fraction form
    3,644,430,288/5,442,763,800 = 5,442,763,800/x
  3. Step 3: Cross multiply
    3,644,430,288x = 5,442,763,800 × 5,442,763,800
  4. Step 4: Simplify right side
    3,644,430,288x = 29,623,677,782,590,439,424
  5. Step 5: Solve for x
    x = 29,623,677,782,590,439,424/3,644,430,288
  6. Step 6: Final answer
    x = 8,128,479,746.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.