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Finding the Third Proportional to 182,407,645,650 and 392,267,014,728

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Solution

The third proportional to 182,407,645,650 and 392,267,014,728 is: 843,568,866,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,407,645,650 : 392,267,014,728 = 392,267,014,728 : x
  2. Step 2: Convert to fraction form
    182,407,645,650/392,267,014,728 = 392,267,014,728/x
  3. Step 3: Cross multiply
    182,407,645,650x = 392,267,014,728 × 392,267,014,728
  4. Step 4: Simplify right side
    182,407,645,650x = 153,873,410,843,616,980,500,480
  5. Step 5: Solve for x
    x = 153,873,410,843,616,980,500,480/182,407,645,650
  6. Step 6: Final answer
    x = 843,568,866,290.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.