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Finding the Third Proportional to 256,627,022 and 553,315,996

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Solution

The third proportional to 256,627,022 and 553,315,996 is: 1,193,009,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,627,022 : 553,315,996 = 553,315,996 : x
  2. Step 2: Convert to fraction form
    256,627,022/553,315,996 = 553,315,996/x
  3. Step 3: Cross multiply
    256,627,022x = 553,315,996 × 553,315,996
  4. Step 4: Simplify right side
    256,627,022x = 306,158,591,429,472,000
  5. Step 5: Solve for x
    x = 306,158,591,429,472,000/256,627,022
  6. Step 6: Final answer
    x = 1,193,009,952.90

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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.