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Finding the Third Proportional to 1,505,481,114 and 3,261,126,595

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Solution

The third proportional to 1,505,481,114 and 3,261,126,595 is: 7,064,151,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,481,114 : 3,261,126,595 = 3,261,126,595 : x
  2. Step 2: Convert to fraction form
    1,505,481,114/3,261,126,595 = 3,261,126,595/x
  3. Step 3: Cross multiply
    1,505,481,114x = 3,261,126,595 × 3,261,126,595
  4. Step 4: Simplify right side
    1,505,481,114x = 10,634,946,668,616,294,400
  5. Step 5: Solve for x
    x = 10,634,946,668,616,294,400/1,505,481,114
  6. Step 6: Final answer
    x = 7,064,151,499.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.