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Finding the Third Proportional to 1,963,813,149 and 2,942,847,062

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Solution

The third proportional to 1,963,813,149 and 2,942,847,062 is: 4,409,965,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963,813,149 : 2,942,847,062 = 2,942,847,062 : x
  2. Step 2: Convert to fraction form
    1,963,813,149/2,942,847,062 = 2,942,847,062/x
  3. Step 3: Cross multiply
    1,963,813,149x = 2,942,847,062 × 2,942,847,062
  4. Step 4: Simplify right side
    1,963,813,149x = 8,660,348,830,322,031,616
  5. Step 5: Solve for x
    x = 8,660,348,830,322,031,616/1,963,813,149
  6. Step 6: Final answer
    x = 4,409,965,802.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.