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Finding the Third Proportional to 566,311,902,284 and 1,213,400,976,160

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Solution

The third proportional to 566,311,902,284 and 1,213,400,976,160 is: 2,599,878,129,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,311,902,284 : 1,213,400,976,160 = 1,213,400,976,160 : x
  2. Step 2: Convert to fraction form
    566,311,902,284/1,213,400,976,160 = 1,213,400,976,160/x
  3. Step 3: Cross multiply
    566,311,902,284x = 1,213,400,976,160 × 1,213,400,976,160
  4. Step 4: Simplify right side
    566,311,902,284x = 1,472,341,928,946,040,907,497,472
  5. Step 5: Solve for x
    x = 1,472,341,928,946,040,907,497,472/566,311,902,284
  6. Step 6: Final answer
    x = 2,599,878,129,009.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.