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Finding the Third Proportional to 271,034,724.13 and 365,689,477.13

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Solution

The third proportional to 271,034,724.13 and 365,689,477.13 is: 493,400,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,034,724.13 : 365,689,477.13 = 365,689,477.13 : x
  2. Step 2: Convert to fraction form
    271,034,724.13/365,689,477.13 = 365,689,477.13/x
  3. Step 3: Cross multiply
    271,034,724.13x = 365,689,477.13 × 365,689,477.13
  4. Step 4: Simplify right side
    271,034,724.13x = 133,728,793,679,955,904
  5. Step 5: Solve for x
    x = 133,728,793,679,955,904/271,034,724.13
  6. Step 6: Final answer
    x = 493,400,962.23

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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.