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Finding the Third Proportional to 2,148,084,688 and 3,208,897,748

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Solution

The third proportional to 2,148,084,688 and 3,208,897,748 is: 4,793,584,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,084,688 : 3,208,897,748 = 3,208,897,748 : x
  2. Step 2: Convert to fraction form
    2,148,084,688/3,208,897,748 = 3,208,897,748/x
  3. Step 3: Cross multiply
    2,148,084,688x = 3,208,897,748 × 3,208,897,748
  4. Step 4: Simplify right side
    2,148,084,688x = 10,297,024,757,119,471,616
  5. Step 5: Solve for x
    x = 10,297,024,757,119,471,616/2,148,084,688
  6. Step 6: Final answer
    x = 4,793,584,170.42

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