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Finding the Third Proportional to 331,189,790,866 and 720,407,460,260

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Solution

The third proportional to 331,189,790,866 and 720,407,460,260 is: 1,567,037,762,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,790,866 : 720,407,460,260 = 720,407,460,260 : x
  2. Step 2: Convert to fraction form
    331,189,790,866/720,407,460,260 = 720,407,460,260/x
  3. Step 3: Cross multiply
    331,189,790,866x = 720,407,460,260 × 720,407,460,260
  4. Step 4: Simplify right side
    331,189,790,866x = 518,986,908,798,263,511,482,368
  5. Step 5: Solve for x
    x = 518,986,908,798,263,511,482,368/331,189,790,866
  6. Step 6: Final answer
    x = 1,567,037,762,369.45

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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.