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Finding the Third Proportional to 220,714,910 and 520,286,483

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Solution

The third proportional to 220,714,910 and 520,286,483 is: 1,226,460,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,714,910 : 520,286,483 = 520,286,483 : x
  2. Step 2: Convert to fraction form
    220,714,910/520,286,483 = 520,286,483/x
  3. Step 3: Cross multiply
    220,714,910x = 520,286,483 × 520,286,483
  4. Step 4: Simplify right side
    220,714,910x = 270,698,024,392,509,280
  5. Step 5: Solve for x
    x = 270,698,024,392,509,280/220,714,910
  6. Step 6: Final answer
    x = 1,226,460,071.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.