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Finding the Third Proportional to 2,407,944,824 and 3,683,885,974

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Solution

The third proportional to 2,407,944,824 and 3,683,885,974 is: 5,635,933,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,944,824 : 3,683,885,974 = 3,683,885,974 : x
  2. Step 2: Convert to fraction form
    2,407,944,824/3,683,885,974 = 3,683,885,974/x
  3. Step 3: Cross multiply
    2,407,944,824x = 3,683,885,974 × 3,683,885,974
  4. Step 4: Simplify right side
    2,407,944,824x = 13,571,015,869,433,927,680
  5. Step 5: Solve for x
    x = 13,571,015,869,433,927,680/2,407,944,824
  6. Step 6: Final answer
    x = 5,635,933,072.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.