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Finding the Third Proportional to 788,560,474.50 and 1,682,665,710.75

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Solution

The third proportional to 788,560,474.50 and 1,682,665,710.75 is: 3,590,547,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,560,474.50 : 1,682,665,710.75 = 1,682,665,710.75 : x
  2. Step 2: Convert to fraction form
    788,560,474.50/1,682,665,710.75 = 1,682,665,710.75/x
  3. Step 3: Cross multiply
    788,560,474.50x = 1,682,665,710.75 × 1,682,665,710.75
  4. Step 4: Simplify right side
    788,560,474.50x = 2,831,363,894,133,802,496
  5. Step 5: Solve for x
    x = 2,831,363,894,133,802,496/788,560,474.50
  6. Step 6: Final answer
    x = 3,590,547,568.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.