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Finding the Third Proportional to 301,947,569 and 660,415,965

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Solution

The third proportional to 301,947,569 and 660,415,965 is: 1,444,453,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,947,569 : 660,415,965 = 660,415,965 : x
  2. Step 2: Convert to fraction form
    301,947,569/660,415,965 = 660,415,965/x
  3. Step 3: Cross multiply
    301,947,569x = 660,415,965 × 660,415,965
  4. Step 4: Simplify right side
    301,947,569x = 436,149,246,826,881,216
  5. Step 5: Solve for x
    x = 436,149,246,826,881,216/301,947,569
  6. Step 6: Final answer
    x = 1,444,453,579.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.