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Finding the Third Proportional to 549,823,042,387 and 1,183,676,161,137

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Solution

The third proportional to 549,823,042,387 and 1,183,676,161,137 is: 2,548,254,886,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,823,042,387 : 1,183,676,161,137 = 1,183,676,161,137 : x
  2. Step 2: Convert to fraction form
    549,823,042,387/1,183,676,161,137 = 1,183,676,161,137/x
  3. Step 3: Cross multiply
    549,823,042,387x = 1,183,676,161,137 × 1,183,676,161,137
  4. Step 4: Simplify right side
    549,823,042,387x = 1,401,089,254,444,025,121,865,728
  5. Step 5: Solve for x
    x = 1,401,089,254,444,025,121,865,728/549,823,042,387
  6. Step 6: Final answer
    x = 2,548,254,886,447.36

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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.