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Finding the Third Proportional to 549,823,042,705 and 1,183,676,161,738

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Solution

The third proportional to 549,823,042,705 and 1,183,676,161,738 is: 2,548,254,887,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,823,042,705 : 1,183,676,161,738 = 1,183,676,161,738 : x
  2. Step 2: Convert to fraction form
    549,823,042,705/1,183,676,161,738 = 1,183,676,161,738/x
  3. Step 3: Cross multiply
    549,823,042,705x = 1,183,676,161,738 × 1,183,676,161,738
  4. Step 4: Simplify right side
    549,823,042,705x = 1,401,089,255,866,803,905,626,112
  5. Step 5: Solve for x
    x = 1,401,089,255,866,803,905,626,112/549,823,042,705
  6. Step 6: Final answer
    x = 2,548,254,887,561.23

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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.