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Finding the Third Proportional to 220,836,578 and 464,518,450

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Solution

The third proportional to 220,836,578 and 464,518,450 is: 977,090,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,836,578 : 464,518,450 = 464,518,450 : x
  2. Step 2: Convert to fraction form
    220,836,578/464,518,450 = 464,518,450/x
  3. Step 3: Cross multiply
    220,836,578x = 464,518,450 × 464,518,450
  4. Step 4: Simplify right side
    220,836,578x = 215,777,390,390,402,496
  5. Step 5: Solve for x
    x = 215,777,390,390,402,496/220,836,578
  6. Step 6: Final answer
    x = 977,090,807.80

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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.