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Finding the Third Proportional to 339,565,875 and 727,543,110

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Solution

The third proportional to 339,565,875 and 727,543,110 is: 1,558,810,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,565,875 : 727,543,110 = 727,543,110 : x
  2. Step 2: Convert to fraction form
    339,565,875/727,543,110 = 727,543,110/x
  3. Step 3: Cross multiply
    339,565,875x = 727,543,110 × 727,543,110
  4. Step 4: Simplify right side
    339,565,875x = 529,318,976,908,472,128
  5. Step 5: Solve for x
    x = 529,318,976,908,472,128/339,565,875
  6. Step 6: Final answer
    x = 1,558,810,869.64

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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.