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Finding the Third Proportional to 4,975,831.75 and 10,643,477.75

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Solution

The third proportional to 4,975,831.75 and 10,643,477.75 is: 22,766,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975,831.75 : 10,643,477.75 = 10,643,477.75 : x
  2. Step 2: Convert to fraction form
    4,975,831.75/10,643,477.75 = 10,643,477.75/x
  3. Step 3: Cross multiply
    4,975,831.75x = 10,643,477.75 × 10,643,477.75
  4. Step 4: Simplify right side
    4,975,831.75x = 113,283,618,614,745.06
  5. Step 5: Solve for x
    x = 113,283,618,614,745.06/4,975,831.75
  6. Step 6: Final answer
    x = 22,766,770.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.