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Finding the Third Proportional to 1,282,051,539 and 2,778,082,011

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Solution

The third proportional to 1,282,051,539 and 2,778,082,011 is: 6,019,835,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,051,539 : 2,778,082,011 = 2,778,082,011 : x
  2. Step 2: Convert to fraction form
    1,282,051,539/2,778,082,011 = 2,778,082,011/x
  3. Step 3: Cross multiply
    1,282,051,539x = 2,778,082,011 × 2,778,082,011
  4. Step 4: Simplify right side
    1,282,051,539x = 7,717,739,659,841,804,288
  5. Step 5: Solve for x
    x = 7,717,739,659,841,804,288/1,282,051,539
  6. Step 6: Final answer
    x = 6,019,835,728.18

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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.