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Finding the Third Proportional to 38,326,569,944 and 83,401,974,064

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Solution

The third proportional to 38,326,569,944 and 83,401,974,064 is: 181,490,002,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,326,569,944 : 83,401,974,064 = 83,401,974,064 : x
  2. Step 2: Convert to fraction form
    38,326,569,944/83,401,974,064 = 83,401,974,064/x
  3. Step 3: Cross multiply
    38,326,569,944x = 83,401,974,064 × 83,401,974,064
  4. Step 4: Simplify right side
    38,326,569,944x = 6,955,889,277,772,128,845,824
  5. Step 5: Solve for x
    x = 6,955,889,277,772,128,845,824/38,326,569,944
  6. Step 6: Final answer
    x = 181,490,002,573.56

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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.