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Finding the Third Proportional to 14,772,098 and 23,091,267

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Solution

The third proportional to 14,772,098 and 23,091,267 is: 36,095,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772,098 : 23,091,267 = 23,091,267 : x
  2. Step 2: Convert to fraction form
    14,772,098/23,091,267 = 23,091,267/x
  3. Step 3: Cross multiply
    14,772,098x = 23,091,267 × 23,091,267
  4. Step 4: Simplify right side
    14,772,098x = 533,206,611,665,289
  5. Step 5: Solve for x
    x = 533,206,611,665,289/14,772,098
  6. Step 6: Final answer
    x = 36,095,523.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.