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Finding the Third Proportional to 764,868,490 and 1,690,514,446

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Solution

The third proportional to 764,868,490 and 1,690,514,446 is: 3,736,379,690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,868,490 : 1,690,514,446 = 1,690,514,446 : x
  2. Step 2: Convert to fraction form
    764,868,490/1,690,514,446 = 1,690,514,446/x
  3. Step 3: Cross multiply
    764,868,490x = 1,690,514,446 × 1,690,514,446
  4. Step 4: Simplify right side
    764,868,490x = 2,857,839,092,134,686,720
  5. Step 5: Solve for x
    x = 2,857,839,092,134,686,720/764,868,490
  6. Step 6: Final answer
    x = 3,736,379,690.76

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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.