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Finding the Third Proportional to 340,060,036 and 727,398,152

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Solution

The third proportional to 340,060,036 and 727,398,152 is: 1,555,925,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,060,036 : 727,398,152 = 727,398,152 : x
  2. Step 2: Convert to fraction form
    340,060,036/727,398,152 = 727,398,152/x
  3. Step 3: Cross multiply
    340,060,036x = 727,398,152 × 727,398,152
  4. Step 4: Simplify right side
    340,060,036x = 529,108,071,533,015,104
  5. Step 5: Solve for x
    x = 529,108,071,533,015,104/340,060,036
  6. Step 6: Final answer
    x = 1,555,925,470.56

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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.