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Finding the Third Proportional to 220,836,581 and 464,518,456

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Solution

The third proportional to 220,836,581 and 464,518,456 is: 977,090,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,836,581 : 464,518,456 = 464,518,456 : x
  2. Step 2: Convert to fraction form
    220,836,581/464,518,456 = 464,518,456/x
  3. Step 3: Cross multiply
    220,836,581x = 464,518,456 × 464,518,456
  4. Step 4: Simplify right side
    220,836,581x = 215,777,395,964,623,936
  5. Step 5: Solve for x
    x = 215,777,395,964,623,936/220,836,581
  6. Step 6: Final answer
    x = 977,090,819.77

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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.