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Finding the Third Proportional to 335,980,058 and 467,153,414

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Solution

The third proportional to 335,980,058 and 467,153,414 is: 649,539,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,980,058 : 467,153,414 = 467,153,414 : x
  2. Step 2: Convert to fraction form
    335,980,058/467,153,414 = 467,153,414/x
  3. Step 3: Cross multiply
    335,980,058x = 467,153,414 × 467,153,414
  4. Step 4: Simplify right side
    335,980,058x = 218,232,312,211,855,392
  5. Step 5: Solve for x
    x = 218,232,312,211,855,392/335,980,058
  6. Step 6: Final answer
    x = 649,539,480.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.