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Finding the Third Proportional to 35,299,476 and 76,270,963.50

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Solution

The third proportional to 35,299,476 and 76,270,963.50 is: 164,797,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,299,476 : 76,270,963.50 = 76,270,963.50 : x
  2. Step 2: Convert to fraction form
    35,299,476/76,270,963.50 = 76,270,963.50/x
  3. Step 3: Cross multiply
    35,299,476x = 76,270,963.50 × 76,270,963.50
  4. Step 4: Simplify right side
    35,299,476x = 5,817,259,873,218,332
  5. Step 5: Solve for x
    x = 5,817,259,873,218,332/35,299,476
  6. Step 6: Final answer
    x = 164,797,343.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.