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Finding the Third Proportional to 1,987,606,345 and 4,306,462,453

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Solution

The third proportional to 1,987,606,345 and 4,306,462,453 is: 9,330,629,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987,606,345 : 4,306,462,453 = 4,306,462,453 : x
  2. Step 2: Convert to fraction form
    1,987,606,345/4,306,462,453 = 4,306,462,453/x
  3. Step 3: Cross multiply
    1,987,606,345x = 4,306,462,453 × 4,306,462,453
  4. Step 4: Simplify right side
    1,987,606,345x = 18,545,618,859,098,775,552
  5. Step 5: Solve for x
    x = 18,545,618,859,098,775,552/1,987,606,345
  6. Step 6: Final answer
    x = 9,330,629,732.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.