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Finding the Third Proportional to 305,979,627,430.50 and 654,942,120,441

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Solution

The third proportional to 305,979,627,430.50 and 654,942,120,441 is: 1,401,888,043,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,979,627,430.50 : 654,942,120,441 = 654,942,120,441 : x
  2. Step 2: Convert to fraction form
    305,979,627,430.50/654,942,120,441 = 654,942,120,441/x
  3. Step 3: Cross multiply
    305,979,627,430.50x = 654,942,120,441 × 654,942,120,441
  4. Step 4: Simplify right side
    305,979,627,430.50x = 428,949,181,127,753,373,581,312
  5. Step 5: Solve for x
    x = 428,949,181,127,753,373,581,312/305,979,627,430.50
  6. Step 6: Final answer
    x = 1,401,888,043,102.43

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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.