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Finding the Third Proportional to 2,433,191,910 and 4,995,374,412

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Solution

The third proportional to 2,433,191,910 and 4,995,374,412 is: 10,255,568,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,191,910 : 4,995,374,412 = 4,995,374,412 : x
  2. Step 2: Convert to fraction form
    2,433,191,910/4,995,374,412 = 4,995,374,412/x
  3. Step 3: Cross multiply
    2,433,191,910x = 4,995,374,412 × 4,995,374,412
  4. Step 4: Simplify right side
    2,433,191,910x = 24,953,765,516,064,346,112
  5. Step 5: Solve for x
    x = 24,953,765,516,064,346,112/2,433,191,910
  6. Step 6: Final answer
    x = 10,255,568,175.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.