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Finding the Third Proportional to 2,049,771,512,029 and 4,408,026,588,242

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Solution

The third proportional to 2,049,771,512,029 and 4,408,026,588,242 is: 9,479,446,020,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,771,512,029 : 4,408,026,588,242 = 4,408,026,588,242 : x
  2. Step 2: Convert to fraction form
    2,049,771,512,029/4,408,026,588,242 = 4,408,026,588,242/x
  3. Step 3: Cross multiply
    2,049,771,512,029x = 4,408,026,588,242 × 4,408,026,588,242
  4. Step 4: Simplify right side
    2,049,771,512,029x = 19,430,698,402,648,406,748,037,120
  5. Step 5: Solve for x
    x = 19,430,698,402,648,406,748,037,120/2,049,771,512,029
  6. Step 6: Final answer
    x = 9,479,446,020,505.29

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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.