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Finding the Third Proportional to 55,243,521,348 and 80,767,960,326

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Solution

The third proportional to 55,243,521,348 and 80,767,960,326 is: 118,085,582,816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,243,521,348 : 80,767,960,326 = 80,767,960,326 : x
  2. Step 2: Convert to fraction form
    55,243,521,348/80,767,960,326 = 80,767,960,326/x
  3. Step 3: Cross multiply
    55,243,521,348x = 80,767,960,326 × 80,767,960,326
  4. Step 4: Simplify right side
    55,243,521,348x = 6,523,463,415,222,310,535,168
  5. Step 5: Solve for x
    x = 6,523,463,415,222,310,535,168/55,243,521,348
  6. Step 6: Final answer
    x = 118,085,582,816.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.