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Finding the Third Proportional to 1,665,237,214,642 and 2,246,796,001,088

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Solution

The third proportional to 1,665,237,214,642 and 2,246,796,001,088 is: 3,031,455,354,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,237,214,642 : 2,246,796,001,088 = 2,246,796,001,088 : x
  2. Step 2: Convert to fraction form
    1,665,237,214,642/2,246,796,001,088 = 2,246,796,001,088/x
  3. Step 3: Cross multiply
    1,665,237,214,642x = 2,246,796,001,088 × 2,246,796,001,088
  4. Step 4: Simplify right side
    1,665,237,214,642x = 5,048,092,270,505,027,684,007,936
  5. Step 5: Solve for x
    x = 5,048,092,270,505,027,684,007,936/1,665,237,214,642
  6. Step 6: Final answer
    x = 3,031,455,354,299.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.