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Finding the Third Proportional to 5,386,831.50 and 11,628,294

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Solution

The third proportional to 5,386,831.50 and 11,628,294 is: 25,101,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,831.50 : 11,628,294 = 11,628,294 : x
  2. Step 2: Convert to fraction form
    5,386,831.50/11,628,294 = 11,628,294/x
  3. Step 3: Cross multiply
    5,386,831.50x = 11,628,294 × 11,628,294
  4. Step 4: Simplify right side
    5,386,831.50x = 135,217,221,350,436
  5. Step 5: Solve for x
    x = 135,217,221,350,436/5,386,831.50
  6. Step 6: Final answer
    x = 25,101,438.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.