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Finding the Third Proportional to 221,146,944 and 479,884,656

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Solution

The third proportional to 221,146,944 and 479,884,656 is: 1,041,340,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,146,944 : 479,884,656 = 479,884,656 : x
  2. Step 2: Convert to fraction form
    221,146,944/479,884,656 = 479,884,656/x
  3. Step 3: Cross multiply
    221,146,944x = 479,884,656 × 479,884,656
  4. Step 4: Simplify right side
    221,146,944x = 230,289,283,064,238,336
  5. Step 5: Solve for x
    x = 230,289,283,064,238,336/221,146,944
  6. Step 6: Final answer
    x = 1,041,340,562.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.