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Finding the Third Proportional to 220,836,576 and 464,518,446

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Solution

The third proportional to 220,836,576 and 464,518,446 is: 977,090,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,836,576 : 464,518,446 = 464,518,446 : x
  2. Step 2: Convert to fraction form
    220,836,576/464,518,446 = 464,518,446/x
  3. Step 3: Cross multiply
    220,836,576x = 464,518,446 × 464,518,446
  4. Step 4: Simplify right side
    220,836,576x = 215,777,386,674,254,912
  5. Step 5: Solve for x
    x = 215,777,386,674,254,912/220,836,576
  6. Step 6: Final answer
    x = 977,090,799.82

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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.