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Finding the Third Proportional to 76,760,407 and 109,768,278

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Solution

The third proportional to 76,760,407 and 109,768,278 is: 156,969,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,760,407 : 109,768,278 = 109,768,278 : x
  2. Step 2: Convert to fraction form
    76,760,407/109,768,278 = 109,768,278/x
  3. Step 3: Cross multiply
    76,760,407x = 109,768,278 × 109,768,278
  4. Step 4: Simplify right side
    76,760,407x = 12,049,074,855,085,284
  5. Step 5: Solve for x
    x = 12,049,074,855,085,284/76,760,407
  6. Step 6: Final answer
    x = 156,969,918.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.