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Finding the Third Proportional to 437,335,505,253 and 681,572,261,956

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Solution

The third proportional to 437,335,505,253 and 681,572,261,956 is: 1,062,206,801,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,335,505,253 : 681,572,261,956 = 681,572,261,956 : x
  2. Step 2: Convert to fraction form
    437,335,505,253/681,572,261,956 = 681,572,261,956/x
  3. Step 3: Cross multiply
    437,335,505,253x = 681,572,261,956 × 681,572,261,956
  4. Step 4: Simplify right side
    437,335,505,253x = 464,540,748,267,818,307,289,088
  5. Step 5: Solve for x
    x = 464,540,748,267,818,307,289,088/437,335,505,253
  6. Step 6: Final answer
    x = 1,062,206,801,615.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.