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Finding the Third Proportional to 562,778,214 and 1,240,051,872

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Solution

The third proportional to 562,778,214 and 1,240,051,872 is: 2,732,388,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,778,214 : 1,240,051,872 = 1,240,051,872 : x
  2. Step 2: Convert to fraction form
    562,778,214/1,240,051,872 = 1,240,051,872/x
  3. Step 3: Cross multiply
    562,778,214x = 1,240,051,872 × 1,240,051,872
  4. Step 4: Simplify right side
    562,778,214x = 1,537,728,645,250,704,384
  5. Step 5: Solve for x
    x = 1,537,728,645,250,704,384/562,778,214
  6. Step 6: Final answer
    x = 2,732,388,367.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.