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Finding the Third Proportional to 810,795,208.50 and 1,263,596,268.09

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Solution

The third proportional to 810,795,208.50 and 1,263,596,268.09 is: 1,969,271,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,795,208.50 : 1,263,596,268.09 = 1,263,596,268.09 : x
  2. Step 2: Convert to fraction form
    810,795,208.50/1,263,596,268.09 = 1,263,596,268.09/x
  3. Step 3: Cross multiply
    810,795,208.50x = 1,263,596,268.09 × 1,263,596,268.09
  4. Step 4: Simplify right side
    810,795,208.50x = 1,596,675,528,740,578,560
  5. Step 5: Solve for x
    x = 1,596,675,528,740,578,560/810,795,208.50
  6. Step 6: Final answer
    x = 1,969,271,046.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.