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Finding the Third Proportional to 51,236,254 and 111,569,724

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Solution

The third proportional to 51,236,254 and 111,569,724 is: 242,949,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,236,254 : 111,569,724 = 111,569,724 : x
  2. Step 2: Convert to fraction form
    51,236,254/111,569,724 = 111,569,724/x
  3. Step 3: Cross multiply
    51,236,254x = 111,569,724 × 111,569,724
  4. Step 4: Simplify right side
    51,236,254x = 12,447,803,313,436,176
  5. Step 5: Solve for x
    x = 12,447,803,313,436,176/51,236,254
  6. Step 6: Final answer
    x = 242,949,129.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.