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Finding the Third Proportional to 573,939,800,548 and 1,233,054,115,042

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Solution

The third proportional to 573,939,800,548 and 1,233,054,115,042 is: 2,649,097,430,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,939,800,548 : 1,233,054,115,042 = 1,233,054,115,042 : x
  2. Step 2: Convert to fraction form
    573,939,800,548/1,233,054,115,042 = 1,233,054,115,042/x
  3. Step 3: Cross multiply
    573,939,800,548x = 1,233,054,115,042 × 1,233,054,115,042
  4. Step 4: Simplify right side
    573,939,800,548x = 1,520,422,450,622,009,884,803,072
  5. Step 5: Solve for x
    x = 1,520,422,450,622,009,884,803,072/573,939,800,548
  6. Step 6: Final answer
    x = 2,649,097,430,027.16

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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.