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Finding the Third Proportional to 301,551,883 and 656,501,068

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Solution

The third proportional to 301,551,883 and 656,501,068 is: 1,429,252,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,551,883 : 656,501,068 = 656,501,068 : x
  2. Step 2: Convert to fraction form
    301,551,883/656,501,068 = 656,501,068/x
  3. Step 3: Cross multiply
    301,551,883x = 656,501,068 × 656,501,068
  4. Step 4: Simplify right side
    301,551,883x = 430,993,652,285,140,608
  5. Step 5: Solve for x
    x = 430,993,652,285,140,608/301,551,883
  6. Step 6: Final answer
    x = 1,429,252,067.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.