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Finding the Third Proportional to 2,825,026,456 and 4,409,195,124

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Solution

The third proportional to 2,825,026,456 and 4,409,195,124 is: 6,881,706,045.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825,026,456 : 4,409,195,124 = 4,409,195,124 : x
  2. Step 2: Convert to fraction form
    2,825,026,456/4,409,195,124 = 4,409,195,124/x
  3. Step 3: Cross multiply
    2,825,026,456x = 4,409,195,124 × 4,409,195,124
  4. Step 4: Simplify right side
    2,825,026,456x = 19,441,001,641,505,374,208
  5. Step 5: Solve for x
    x = 19,441,001,641,505,374,208/2,825,026,456
  6. Step 6: Final answer
    x = 6,881,706,045.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.