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Finding the Third Proportional to 669,102,712 and 1,449,389,588

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Solution

The third proportional to 669,102,712 and 1,449,389,588 is: 3,139,622,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,102,712 : 1,449,389,588 = 1,449,389,588 : x
  2. Step 2: Convert to fraction form
    669,102,712/1,449,389,588 = 1,449,389,588/x
  3. Step 3: Cross multiply
    669,102,712x = 1,449,389,588 × 1,449,389,588
  4. Step 4: Simplify right side
    669,102,712x = 2,100,730,177,802,809,856
  5. Step 5: Solve for x
    x = 2,100,730,177,802,809,856/669,102,712
  6. Step 6: Final answer
    x = 3,139,622,871.24

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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.