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Finding the Third Proportional to 764,868,504 and 1,690,514,476

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Solution

The third proportional to 764,868,504 and 1,690,514,476 is: 3,736,379,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,868,504 : 1,690,514,476 = 1,690,514,476 : x
  2. Step 2: Convert to fraction form
    764,868,504/1,690,514,476 = 1,690,514,476/x
  3. Step 3: Cross multiply
    764,868,504x = 1,690,514,476 × 1,690,514,476
  4. Step 4: Simplify right side
    764,868,504x = 2,857,839,193,565,554,688
  5. Step 5: Solve for x
    x = 2,857,839,193,565,554,688/764,868,504
  6. Step 6: Final answer
    x = 3,736,379,754.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.