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Finding the Third Proportional to 30,706,363 and 65,664,253

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Solution

The third proportional to 30,706,363 and 65,664,253 is: 140,420,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706,363 : 65,664,253 = 65,664,253 : x
  2. Step 2: Convert to fraction form
    30,706,363/65,664,253 = 65,664,253/x
  3. Step 3: Cross multiply
    30,706,363x = 65,664,253 × 65,664,253
  4. Step 4: Simplify right side
    30,706,363x = 4,311,794,122,048,009
  5. Step 5: Solve for x
    x = 4,311,794,122,048,009/30,706,363
  6. Step 6: Final answer
    x = 140,420,215.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.