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Finding the Third Proportional to 1,924,740,491,114 and 4,078,954,980,619

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Solution

The third proportional to 1,924,740,491,114 and 4,078,954,980,619 is: 8,644,216,615,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924,740,491,114 : 4,078,954,980,619 = 4,078,954,980,619 : x
  2. Step 2: Convert to fraction form
    1,924,740,491,114/4,078,954,980,619 = 4,078,954,980,619/x
  3. Step 3: Cross multiply
    1,924,740,491,114x = 4,078,954,980,619 × 4,078,954,980,619
  4. Step 4: Simplify right side
    1,924,740,491,114x = 16,637,873,733,916,547,556,048,896
  5. Step 5: Solve for x
    x = 16,637,873,733,916,547,556,048,896/1,924,740,491,114
  6. Step 6: Final answer
    x = 8,644,216,615,553.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.