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Finding the Third Proportional to 428,891,268.94 and 936,436,352.63

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Solution

The third proportional to 428,891,268.94 and 936,436,352.63 is: 2,044,604,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,891,268.94 : 936,436,352.63 = 936,436,352.63 : x
  2. Step 2: Convert to fraction form
    428,891,268.94/936,436,352.63 = 936,436,352.63/x
  3. Step 3: Cross multiply
    428,891,268.94x = 936,436,352.63 × 936,436,352.63
  4. Step 4: Simplify right side
    428,891,268.94x = 876,913,042,517,613,312
  5. Step 5: Solve for x
    x = 876,913,042,517,613,312/428,891,268.94
  6. Step 6: Final answer
    x = 2,044,604,556.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.