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Finding the Third Proportional to 76,573,242 and 115,771,512

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Solution

The third proportional to 76,573,242 and 115,771,512 is: 175,035,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,573,242 : 115,771,512 = 115,771,512 : x
  2. Step 2: Convert to fraction form
    76,573,242/115,771,512 = 115,771,512/x
  3. Step 3: Cross multiply
    76,573,242x = 115,771,512 × 115,771,512
  4. Step 4: Simplify right side
    76,573,242x = 13,403,042,990,766,144
  5. Step 5: Solve for x
    x = 13,403,042,990,766,144/76,573,242
  6. Step 6: Final answer
    x = 175,035,595.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.