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Finding the Third Proportional to 38,327,449,410 and 83,867,915,004

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Solution

The third proportional to 38,327,449,410 and 83,867,915,004 is: 183,519,312,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,327,449,410 : 83,867,915,004 = 83,867,915,004 : x
  2. Step 2: Convert to fraction form
    38,327,449,410/83,867,915,004 = 83,867,915,004/x
  3. Step 3: Cross multiply
    38,327,449,410x = 83,867,915,004 × 83,867,915,004
  4. Step 4: Simplify right side
    38,327,449,410x = 7,033,827,167,118,168,162,304
  5. Step 5: Solve for x
    x = 7,033,827,167,118,168,162,304/38,327,449,410
  6. Step 6: Final answer
    x = 183,519,312,539.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.