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Finding the Third Proportional to 52,931,467 and 114,656,622

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Solution

The third proportional to 52,931,467 and 114,656,622 is: 248,361,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,931,467 : 114,656,622 = 114,656,622 : x
  2. Step 2: Convert to fraction form
    52,931,467/114,656,622 = 114,656,622/x
  3. Step 3: Cross multiply
    52,931,467x = 114,656,622 × 114,656,622
  4. Step 4: Simplify right side
    52,931,467x = 13,146,140,968,450,884
  5. Step 5: Solve for x
    x = 13,146,140,968,450,884/52,931,467
  6. Step 6: Final answer
    x = 248,361,545.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.