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Finding the Third Proportional to 40,348,032 and 86,573,900

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Solution

The third proportional to 40,348,032 and 86,573,900 is: 185,759,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,032 : 86,573,900 = 86,573,900 : x
  2. Step 2: Convert to fraction form
    40,348,032/86,573,900 = 86,573,900/x
  3. Step 3: Cross multiply
    40,348,032x = 86,573,900 × 86,573,900
  4. Step 4: Simplify right side
    40,348,032x = 7,495,040,161,210,000
  5. Step 5: Solve for x
    x = 7,495,040,161,210,000/40,348,032
  6. Step 6: Final answer
    x = 185,759,745.64

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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.