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Finding the Third Proportional to 2,575,414,796 and 5,578,681,704

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Solution

The third proportional to 2,575,414,796 and 5,578,681,704 is: 12,084,146,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,414,796 : 5,578,681,704 = 5,578,681,704 : x
  2. Step 2: Convert to fraction form
    2,575,414,796/5,578,681,704 = 5,578,681,704/x
  3. Step 3: Cross multiply
    2,575,414,796x = 5,578,681,704 × 5,578,681,704
  4. Step 4: Simplify right side
    2,575,414,796x = 31,121,689,554,544,345,088
  5. Step 5: Solve for x
    x = 31,121,689,554,544,345,088/2,575,414,796
  6. Step 6: Final answer
    x = 12,084,146,446.19

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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.