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Finding the Third Proportional to 250,740,414 and 526,861,692

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Solution

The third proportional to 250,740,414 and 526,861,692 is: 1,107,054,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,740,414 : 526,861,692 = 526,861,692 : x
  2. Step 2: Convert to fraction form
    250,740,414/526,861,692 = 526,861,692/x
  3. Step 3: Cross multiply
    250,740,414x = 526,861,692 × 526,861,692
  4. Step 4: Simplify right side
    250,740,414x = 277,583,242,497,102,848
  5. Step 5: Solve for x
    x = 277,583,242,497,102,848/250,740,414
  6. Step 6: Final answer
    x = 1,107,054,256.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.