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Finding the Third Proportional to 38,598,639,696 and 84,032,133,984

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Solution

The third proportional to 38,598,639,696 and 84,032,133,984 is: 182,944,259,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,598,639,696 : 84,032,133,984 = 84,032,133,984 : x
  2. Step 2: Convert to fraction form
    38,598,639,696/84,032,133,984 = 84,032,133,984/x
  3. Step 3: Cross multiply
    38,598,639,696x = 84,032,133,984 × 84,032,133,984
  4. Step 4: Simplify right side
    38,598,639,696x = 7,061,399,541,904,927,883,264
  5. Step 5: Solve for x
    x = 7,061,399,541,904,927,883,264/38,598,639,696
  6. Step 6: Final answer
    x = 182,944,259,111.72

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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.