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Finding the Third Proportional to 945,702,955,478 and 1,412,357,324,915

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Solution

The third proportional to 945,702,955,478 and 1,412,357,324,915 is: 2,109,280,934,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,702,955,478 : 1,412,357,324,915 = 1,412,357,324,915 : x
  2. Step 2: Convert to fraction form
    945,702,955,478/1,412,357,324,915 = 1,412,357,324,915/x
  3. Step 3: Cross multiply
    945,702,955,478x = 1,412,357,324,915 × 1,412,357,324,915
  4. Step 4: Simplify right side
    945,702,955,478x = 1,994,753,213,241,054,761,844,736
  5. Step 5: Solve for x
    x = 1,994,753,213,241,054,761,844,736/945,702,955,478
  6. Step 6: Final answer
    x = 2,109,280,934,025.23

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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.