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Finding the Third Proportional to 303,520,770 and 666,034,116

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Solution

The third proportional to 303,520,770 and 666,034,116 is: 1,461,519,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,520,770 : 666,034,116 = 666,034,116 : x
  2. Step 2: Convert to fraction form
    303,520,770/666,034,116 = 666,034,116/x
  3. Step 3: Cross multiply
    303,520,770x = 666,034,116 × 666,034,116
  4. Step 4: Simplify right side
    303,520,770x = 443,601,443,675,901,440
  5. Step 5: Solve for x
    x = 443,601,443,675,901,440/303,520,770
  6. Step 6: Final answer
    x = 1,461,519,235.33

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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.