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Finding the Third Proportional to 945,702,955,480 and 1,412,357,324,918

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Solution

The third proportional to 945,702,955,480 and 1,412,357,324,918 is: 2,109,280,934,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,702,955,480 : 1,412,357,324,918 = 1,412,357,324,918 : x
  2. Step 2: Convert to fraction form
    945,702,955,480/1,412,357,324,918 = 1,412,357,324,918/x
  3. Step 3: Cross multiply
    945,702,955,480x = 1,412,357,324,918 × 1,412,357,324,918
  4. Step 4: Simplify right side
    945,702,955,480x = 1,994,753,213,249,529,000,755,200
  5. Step 5: Solve for x
    x = 1,994,753,213,249,529,000,755,200/945,702,955,480
  6. Step 6: Final answer
    x = 2,109,280,934,029.73

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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.