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Finding the Third Proportional to 331,189,790,874 and 720,407,460,276

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Solution

The third proportional to 331,189,790,874 and 720,407,460,276 is: 1,567,037,762,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,790,874 : 720,407,460,276 = 720,407,460,276 : x
  2. Step 2: Convert to fraction form
    331,189,790,874/720,407,460,276 = 720,407,460,276/x
  3. Step 3: Cross multiply
    331,189,790,874x = 720,407,460,276 × 720,407,460,276
  4. Step 4: Simplify right side
    331,189,790,874x = 518,986,908,821,316,547,117,056
  5. Step 5: Solve for x
    x = 518,986,908,821,316,547,117,056/331,189,790,874
  6. Step 6: Final answer
    x = 1,567,037,762,401.21

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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.