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Finding the Third Proportional to 252,885,952,680 and 546,077,540,640

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Solution

The third proportional to 252,885,952,680 and 546,077,540,640 is: 1,179,190,371,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,885,952,680 : 546,077,540,640 = 546,077,540,640 : x
  2. Step 2: Convert to fraction form
    252,885,952,680/546,077,540,640 = 546,077,540,640/x
  3. Step 3: Cross multiply
    252,885,952,680x = 546,077,540,640 × 546,077,540,640
  4. Step 4: Simplify right side
    252,885,952,680x = 298,200,680,391,430,843,138,048
  5. Step 5: Solve for x
    x = 298,200,680,391,430,843,138,048/252,885,952,680
  6. Step 6: Final answer
    x = 1,179,190,371,118.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.