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Finding the Third Proportional to 5,259,844,872 and 7,896,686,004

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Solution

The third proportional to 5,259,844,872 and 7,896,686,004 is: 11,855,416,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259,844,872 : 7,896,686,004 = 7,896,686,004 : x
  2. Step 2: Convert to fraction form
    5,259,844,872/7,896,686,004 = 7,896,686,004/x
  3. Step 3: Cross multiply
    5,259,844,872x = 7,896,686,004 × 7,896,686,004
  4. Step 4: Simplify right side
    5,259,844,872x = 62,357,649,845,769,486,336
  5. Step 5: Solve for x
    x = 62,357,649,845,769,486,336/5,259,844,872
  6. Step 6: Final answer
    x = 11,855,416,150.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.