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Finding the Third Proportional to 40,348,074 and 86,573,984

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Solution

The third proportional to 40,348,074 and 86,573,984 is: 185,759,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,074 : 86,573,984 = 86,573,984 : x
  2. Step 2: Convert to fraction form
    40,348,074/86,573,984 = 86,573,984/x
  3. Step 3: Cross multiply
    40,348,074x = 86,573,984 × 86,573,984
  4. Step 4: Simplify right side
    40,348,074x = 7,495,054,705,632,256
  5. Step 5: Solve for x
    x = 7,495,054,705,632,256/40,348,074
  6. Step 6: Final answer
    x = 185,759,912.74

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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.