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Finding the Third Proportional to 38,301,138 and 57,316,002

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Solution

The third proportional to 38,301,138 and 57,316,002 is: 85,770,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301,138 : 57,316,002 = 57,316,002 : x
  2. Step 2: Convert to fraction form
    38,301,138/57,316,002 = 57,316,002/x
  3. Step 3: Cross multiply
    38,301,138x = 57,316,002 × 57,316,002
  4. Step 4: Simplify right side
    38,301,138x = 3,285,124,085,264,004
  5. Step 5: Solve for x
    x = 3,285,124,085,264,004/38,301,138
  6. Step 6: Final answer
    x = 85,770,926.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.