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Finding the Third Proportional to 351,418,602 and 514,191,899

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Solution

The third proportional to 351,418,602 and 514,191,899 is: 752,360,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,418,602 : 514,191,899 = 514,191,899 : x
  2. Step 2: Convert to fraction form
    351,418,602/514,191,899 = 514,191,899/x
  3. Step 3: Cross multiply
    351,418,602x = 514,191,899 × 514,191,899
  4. Step 4: Simplify right side
    351,418,602x = 264,393,308,997,226,208
  5. Step 5: Solve for x
    x = 264,393,308,997,226,208/351,418,602
  6. Step 6: Final answer
    x = 752,360,027.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.