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Finding the Third Proportional to 2,356,391,485 and 5,126,494,723

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Solution

The third proportional to 2,356,391,485 and 5,126,494,723 is: 11,153,048,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,391,485 : 5,126,494,723 = 5,126,494,723 : x
  2. Step 2: Convert to fraction form
    2,356,391,485/5,126,494,723 = 5,126,494,723/x
  3. Step 3: Cross multiply
    2,356,391,485x = 5,126,494,723 × 5,126,494,723
  4. Step 4: Simplify right side
    2,356,391,485x = 26,280,948,144,946,847,744
  5. Step 5: Solve for x
    x = 26,280,948,144,946,847,744/2,356,391,485
  6. Step 6: Final answer
    x = 11,153,048,342.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.