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Finding the Third Proportional to 43,334,638,224 and 61,024,719,852

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Solution

The third proportional to 43,334,638,224 and 61,024,719,852 is: 85,936,252,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,334,638,224 : 61,024,719,852 = 61,024,719,852 : x
  2. Step 2: Convert to fraction form
    43,334,638,224/61,024,719,852 = 61,024,719,852/x
  3. Step 3: Cross multiply
    43,334,638,224x = 61,024,719,852 × 61,024,719,852
  4. Step 4: Simplify right side
    43,334,638,224x = 3,724,016,433,015,082,713,088
  5. Step 5: Solve for x
    x = 3,724,016,433,015,082,713,088/43,334,638,224
  6. Step 6: Final answer
    x = 85,936,252,975.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.