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Finding the Third Proportional to 1,343,592,546,471 and 2,961,052,052,004

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Solution

The third proportional to 1,343,592,546,471 and 2,961,052,052,004 is: 6,525,660,832,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,592,546,471 : 2,961,052,052,004 = 2,961,052,052,004 : x
  2. Step 2: Convert to fraction form
    1,343,592,546,471/2,961,052,052,004 = 2,961,052,052,004/x
  3. Step 3: Cross multiply
    1,343,592,546,471x = 2,961,052,052,004 × 2,961,052,052,004
  4. Step 4: Simplify right side
    1,343,592,546,471x = 8,767,829,254,677,099,091,853,312
  5. Step 5: Solve for x
    x = 8,767,829,254,677,099,091,853,312/1,343,592,546,471
  6. Step 6: Final answer
    x = 6,525,660,832,003.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.