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Finding the Third Proportional to 351,261,063,135 and 473,933,642,041.14

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Solution

The third proportional to 351,261,063,135 and 473,933,642,041.14 is: 639,447,751,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,261,063,135 : 473,933,642,041.14 = 473,933,642,041.14 : x
  2. Step 2: Convert to fraction form
    351,261,063,135/473,933,642,041.14 = 473,933,642,041.14/x
  3. Step 3: Cross multiply
    351,261,063,135x = 473,933,642,041.14 × 473,933,642,041.14
  4. Step 4: Simplify right side
    351,261,063,135x = 224,613,097,058,379,449,237,504
  5. Step 5: Solve for x
    x = 224,613,097,058,379,449,237,504/351,261,063,135
  6. Step 6: Final answer
    x = 639,447,751,634.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.