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Finding the Third Proportional to 259,511,844 and 362,812,854

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Solution

The third proportional to 259,511,844 and 362,812,854 is: 507,233,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,511,844 : 362,812,854 = 362,812,854 : x
  2. Step 2: Convert to fraction form
    259,511,844/362,812,854 = 362,812,854/x
  3. Step 3: Cross multiply
    259,511,844x = 362,812,854 × 362,812,854
  4. Step 4: Simplify right side
    259,511,844x = 131,633,167,027,625,312
  5. Step 5: Solve for x
    x = 131,633,167,027,625,312/259,511,844
  6. Step 6: Final answer
    x = 507,233,754.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.