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Finding the Third Proportional to 945,702,955,476 and 1,412,357,324,912

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Solution

The third proportional to 945,702,955,476 and 1,412,357,324,912 is: 2,109,280,934,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,702,955,476 : 1,412,357,324,912 = 1,412,357,324,912 : x
  2. Step 2: Convert to fraction form
    945,702,955,476/1,412,357,324,912 = 1,412,357,324,912/x
  3. Step 3: Cross multiply
    945,702,955,476x = 1,412,357,324,912 × 1,412,357,324,912
  4. Step 4: Simplify right side
    945,702,955,476x = 1,994,753,213,232,580,791,369,728
  5. Step 5: Solve for x
    x = 1,994,753,213,232,580,791,369,728/945,702,955,476
  6. Step 6: Final answer
    x = 2,109,280,934,020.73

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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.