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Finding the Third Proportional to 1,272,748,716 and 1,963,601,326

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Solution

The third proportional to 1,272,748,716 and 1,963,601,326 is: 3,029,451,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,748,716 : 1,963,601,326 = 1,963,601,326 : x
  2. Step 2: Convert to fraction form
    1,272,748,716/1,963,601,326 = 1,963,601,326/x
  3. Step 3: Cross multiply
    1,272,748,716x = 1,963,601,326 × 1,963,601,326
  4. Step 4: Simplify right side
    1,272,748,716x = 3,855,730,167,468,958,208
  5. Step 5: Solve for x
    x = 3,855,730,167,468,958,208/1,272,748,716
  6. Step 6: Final answer
    x = 3,029,451,233.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.