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Finding the Third Proportional to 29,271,750,238 and 39,494,463,578

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Solution

The third proportional to 29,271,750,238 and 39,494,463,578 is: 53,287,303,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,271,750,238 : 39,494,463,578 = 39,494,463,578 : x
  2. Step 2: Convert to fraction form
    29,271,750,238/39,494,463,578 = 39,494,463,578/x
  3. Step 3: Cross multiply
    29,271,750,238x = 39,494,463,578 × 39,494,463,578
  4. Step 4: Simplify right side
    29,271,750,238x = 1,559,812,653,313,968,570,368
  5. Step 5: Solve for x
    x = 1,559,812,653,313,968,570,368/29,271,750,238
  6. Step 6: Final answer
    x = 53,287,303,992.13

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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.