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Finding the Third Proportional to 331,189,790,878 and 720,407,460,284

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Solution

The third proportional to 331,189,790,878 and 720,407,460,284 is: 1,567,037,762,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,790,878 : 720,407,460,284 = 720,407,460,284 : x
  2. Step 2: Convert to fraction form
    331,189,790,878/720,407,460,284 = 720,407,460,284/x
  3. Step 3: Cross multiply
    331,189,790,878x = 720,407,460,284 × 720,407,460,284
  4. Step 4: Simplify right side
    331,189,790,878x = 518,986,908,832,843,031,379,968
  5. Step 5: Solve for x
    x = 518,986,908,832,843,031,379,968/331,189,790,878
  6. Step 6: Final answer
    x = 1,567,037,762,417.08

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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.