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Finding the Third Proportional to 306,986,136 and 472,336,056

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Solution

The third proportional to 306,986,136 and 472,336,056 is: 726,747,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,986,136 : 472,336,056 = 472,336,056 : x
  2. Step 2: Convert to fraction form
    306,986,136/472,336,056 = 472,336,056/x
  3. Step 3: Cross multiply
    306,986,136x = 472,336,056 × 472,336,056
  4. Step 4: Simplify right side
    306,986,136x = 223,101,349,797,635,136
  5. Step 5: Solve for x
    x = 223,101,349,797,635,136/306,986,136
  6. Step 6: Final answer
    x = 726,747,314.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.