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Finding the Third Proportional to 590,956,205,503.50 and 1,198,356,461,820

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Solution

The third proportional to 590,956,205,503.50 and 1,198,356,461,820 is: 2,430,058,600,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,956,205,503.50 : 1,198,356,461,820 = 1,198,356,461,820 : x
  2. Step 2: Convert to fraction form
    590,956,205,503.50/1,198,356,461,820 = 1,198,356,461,820/x
  3. Step 3: Cross multiply
    590,956,205,503.50x = 1,198,356,461,820 × 1,198,356,461,820
  4. Step 4: Simplify right side
    590,956,205,503.50x = 1,436,058,209,585,749,045,542,912
  5. Step 5: Solve for x
    x = 1,436,058,209,585,749,045,542,912/590,956,205,503.50
  6. Step 6: Final answer
    x = 2,430,058,600,302.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.