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Finding the Third Proportional to 38,828,548,380 and 83,554,497,537

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Solution

The third proportional to 38,828,548,380 and 83,554,497,537 is: 179,799,512,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,828,548,380 : 83,554,497,537 = 83,554,497,537 : x
  2. Step 2: Convert to fraction form
    38,828,548,380/83,554,497,537 = 83,554,497,537/x
  3. Step 3: Cross multiply
    38,828,548,380x = 83,554,497,537 × 83,554,497,537
  4. Step 4: Simplify right side
    38,828,548,380x = 6,981,354,058,660,539,531,264
  5. Step 5: Solve for x
    x = 6,981,354,058,660,539,531,264/38,828,548,380
  6. Step 6: Final answer
    x = 179,799,512,212.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.