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Finding the Third Proportional to 220,835,626 and 464,516,655

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Solution

The third proportional to 220,835,626 and 464,516,655 is: 977,087,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835,626 : 464,516,655 = 464,516,655 : x
  2. Step 2: Convert to fraction form
    220,835,626/464,516,655 = 464,516,655/x
  3. Step 3: Cross multiply
    220,835,626x = 464,516,655 × 464,516,655
  4. Step 4: Simplify right side
    220,835,626x = 215,775,722,772,389,024
  5. Step 5: Solve for x
    x = 215,775,722,772,389,024/220,835,626
  6. Step 6: Final answer
    x = 977,087,468.54

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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.