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Finding the Third Proportional to 56,116,310 and 120,586,966

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Solution

The third proportional to 56,116,310 and 120,586,966 is: 259,126,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,116,310 : 120,586,966 = 120,586,966 : x
  2. Step 2: Convert to fraction form
    56,116,310/120,586,966 = 120,586,966/x
  3. Step 3: Cross multiply
    56,116,310x = 120,586,966 × 120,586,966
  4. Step 4: Simplify right side
    56,116,310x = 14,541,216,369,085,156
  5. Step 5: Solve for x
    x = 14,541,216,369,085,156/56,116,310
  6. Step 6: Final answer
    x = 259,126,381.78

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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.