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Finding the Third Proportional to 263,887,764 and 402,657,006

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Solution

The third proportional to 263,887,764 and 402,657,006 is: 614,400,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,887,764 : 402,657,006 = 402,657,006 : x
  2. Step 2: Convert to fraction form
    263,887,764/402,657,006 = 402,657,006/x
  3. Step 3: Cross multiply
    263,887,764x = 402,657,006 × 402,657,006
  4. Step 4: Simplify right side
    263,887,764x = 162,132,664,480,884,032
  5. Step 5: Solve for x
    x = 162,132,664,480,884,032/263,887,764
  6. Step 6: Final answer
    x = 614,400,084.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.