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Finding the Third Proportional to 35,306,517 and 76,186,597

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Solution

The third proportional to 35,306,517 and 76,186,597 is: 164,400,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,306,517 : 76,186,597 = 76,186,597 : x
  2. Step 2: Convert to fraction form
    35,306,517/76,186,597 = 76,186,597/x
  3. Step 3: Cross multiply
    35,306,517x = 76,186,597 × 76,186,597
  4. Step 4: Simplify right side
    35,306,517x = 5,804,397,562,440,409
  5. Step 5: Solve for x
    x = 5,804,397,562,440,409/35,306,517
  6. Step 6: Final answer
    x = 164,400,174.69

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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.