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Finding the Third Proportional to 2,148,084,714 and 3,208,897,764

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Solution

The third proportional to 2,148,084,714 and 3,208,897,764 is: 4,793,584,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,084,714 : 3,208,897,764 = 3,208,897,764 : x
  2. Step 2: Convert to fraction form
    2,148,084,714/3,208,897,764 = 3,208,897,764/x
  3. Step 3: Cross multiply
    2,148,084,714x = 3,208,897,764 × 3,208,897,764
  4. Step 4: Simplify right side
    2,148,084,714x = 10,297,024,859,804,198,912
  5. Step 5: Solve for x
    x = 10,297,024,859,804,198,912/2,148,084,714
  6. Step 6: Final answer
    x = 4,793,584,160.20

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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.