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Finding the Third Proportional to 2,148,084,702 and 3,208,897,746

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Solution

The third proportional to 2,148,084,702 and 3,208,897,746 is: 4,793,584,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,084,702 : 3,208,897,746 = 3,208,897,746 : x
  2. Step 2: Convert to fraction form
    2,148,084,702/3,208,897,746 = 3,208,897,746/x
  3. Step 3: Cross multiply
    2,148,084,702x = 3,208,897,746 × 3,208,897,746
  4. Step 4: Simplify right side
    2,148,084,702x = 10,297,024,744,283,881,472
  5. Step 5: Solve for x
    x = 10,297,024,744,283,881,472/2,148,084,702
  6. Step 6: Final answer
    x = 4,793,584,133.20

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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.