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Finding the Third Proportional to 12,486,025,044 and 29,135,064,636

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Solution

The third proportional to 12,486,025,044 and 29,135,064,636 is: 67,984,165,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486,025,044 : 29,135,064,636 = 29,135,064,636 : x
  2. Step 2: Convert to fraction form
    12,486,025,044/29,135,064,636 = 29,135,064,636/x
  3. Step 3: Cross multiply
    12,486,025,044x = 29,135,064,636 × 29,135,064,636
  4. Step 4: Simplify right side
    12,486,025,044x = 848,851,991,343,897,772,032
  5. Step 5: Solve for x
    x = 848,851,991,343,897,772,032/12,486,025,044
  6. Step 6: Final answer
    x = 67,984,165,365.09

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.