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Finding the Third Proportional to 1,407,801,714 and 2,129,822,073

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Solution

The third proportional to 1,407,801,714 and 2,129,822,073 is: 3,222,145,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,801,714 : 2,129,822,073 = 2,129,822,073 : x
  2. Step 2: Convert to fraction form
    1,407,801,714/2,129,822,073 = 2,129,822,073/x
  3. Step 3: Cross multiply
    1,407,801,714x = 2,129,822,073 × 2,129,822,073
  4. Step 4: Simplify right side
    1,407,801,714x = 4,536,142,062,638,017,536
  5. Step 5: Solve for x
    x = 4,536,142,062,638,017,536/1,407,801,714
  6. Step 6: Final answer
    x = 3,222,145,574.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.