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Finding the Third Proportional to 1,263,501,697 and 2,702,269,407

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Solution

The third proportional to 1,263,501,697 and 2,702,269,407 is: 5,779,382,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,501,697 : 2,702,269,407 = 2,702,269,407 : x
  2. Step 2: Convert to fraction form
    1,263,501,697/2,702,269,407 = 2,702,269,407/x
  3. Step 3: Cross multiply
    1,263,501,697x = 2,702,269,407 × 2,702,269,407
  4. Step 4: Simplify right side
    1,263,501,697x = 7,302,259,948,008,131,584
  5. Step 5: Solve for x
    x = 7,302,259,948,008,131,584/1,263,501,697
  6. Step 6: Final answer
    x = 5,779,382,778.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.