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Finding the Third Proportional to 562,778,210 and 1,240,051,864

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Solution

The third proportional to 562,778,210 and 1,240,051,864 is: 2,732,388,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,778,210 : 1,240,051,864 = 1,240,051,864 : x
  2. Step 2: Convert to fraction form
    562,778,210/1,240,051,864 = 1,240,051,864/x
  3. Step 3: Cross multiply
    562,778,210x = 1,240,051,864 × 1,240,051,864
  4. Step 4: Simplify right side
    562,778,210x = 1,537,728,625,409,874,432
  5. Step 5: Solve for x
    x = 1,537,728,625,409,874,432/562,778,210
  6. Step 6: Final answer
    x = 2,732,388,351.37

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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.