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Finding the Third Proportional to 57,463,433,613 and 134,260,509,447

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Solution

The third proportional to 57,463,433,613 and 134,260,509,447 is: 313,693,130,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,463,433,613 : 134,260,509,447 = 134,260,509,447 : x
  2. Step 2: Convert to fraction form
    57,463,433,613/134,260,509,447 = 134,260,509,447/x
  3. Step 3: Cross multiply
    57,463,433,613x = 134,260,509,447 × 134,260,509,447
  4. Step 4: Simplify right side
    57,463,433,613x = 18,025,884,396,967,975,452,672
  5. Step 5: Solve for x
    x = 18,025,884,396,967,975,452,672/57,463,433,613
  6. Step 6: Final answer
    x = 313,693,130,806.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.