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Finding the Third Proportional to 51,236,257 and 111,569,729

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Solution

The third proportional to 51,236,257 and 111,569,729 is: 242,949,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,236,257 : 111,569,729 = 111,569,729 : x
  2. Step 2: Convert to fraction form
    51,236,257/111,569,729 = 111,569,729/x
  3. Step 3: Cross multiply
    51,236,257x = 111,569,729 × 111,569,729
  4. Step 4: Simplify right side
    51,236,257x = 12,447,804,429,133,440
  5. Step 5: Solve for x
    x = 12,447,804,429,133,440/51,236,257
  6. Step 6: Final answer
    x = 242,949,137.15

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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.