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Finding the Third Proportional to 2,575,414,744 and 5,578,681,588

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Solution

The third proportional to 2,575,414,744 and 5,578,681,588 is: 12,084,146,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,414,744 : 5,578,681,588 = 5,578,681,588 : x
  2. Step 2: Convert to fraction form
    2,575,414,744/5,578,681,588 = 5,578,681,588/x
  3. Step 3: Cross multiply
    2,575,414,744x = 5,578,681,588 × 5,578,681,588
  4. Step 4: Simplify right side
    2,575,414,744x = 31,121,688,260,290,203,648
  5. Step 5: Solve for x
    x = 31,121,688,260,290,203,648/2,575,414,744
  6. Step 6: Final answer
    x = 12,084,146,187.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.