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Finding the Third Proportional to 1,031,254,222 and 1,635,633,213

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Solution

The third proportional to 1,031,254,222 and 1,635,633,213 is: 2,594,215,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,254,222 : 1,635,633,213 = 1,635,633,213 : x
  2. Step 2: Convert to fraction form
    1,031,254,222/1,635,633,213 = 1,635,633,213/x
  3. Step 3: Cross multiply
    1,031,254,222x = 1,635,633,213 × 1,635,633,213
  4. Step 4: Simplify right side
    1,031,254,222x = 2,675,296,007,468,703,232
  5. Step 5: Solve for x
    x = 2,675,296,007,468,703,232/1,031,254,222
  6. Step 6: Final answer
    x = 2,594,215,810.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.