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Finding the Third Proportional to 220,835,625 and 464,516,652

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Solution

The third proportional to 220,835,625 and 464,516,652 is: 977,087,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835,625 : 464,516,652 = 464,516,652 : x
  2. Step 2: Convert to fraction form
    220,835,625/464,516,652 = 464,516,652/x
  3. Step 3: Cross multiply
    220,835,625x = 464,516,652 × 464,516,652
  4. Step 4: Simplify right side
    220,835,625x = 215,775,719,985,289,088
  5. Step 5: Solve for x
    x = 215,775,719,985,289,088/220,835,625
  6. Step 6: Final answer
    x = 977,087,460.35

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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.