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Finding the Third Proportional to 55,243,521,344 and 80,767,960,320

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Solution

The third proportional to 55,243,521,344 and 80,767,960,320 is: 118,085,582,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,243,521,344 : 80,767,960,320 = 80,767,960,320 : x
  2. Step 2: Convert to fraction form
    55,243,521,344/80,767,960,320 = 80,767,960,320/x
  3. Step 3: Cross multiply
    55,243,521,344x = 80,767,960,320 × 80,767,960,320
  4. Step 4: Simplify right side
    55,243,521,344x = 6,523,463,414,253,094,961,152
  5. Step 5: Solve for x
    x = 6,523,463,414,253,094,961,152/55,243,521,344
  6. Step 6: Final answer
    x = 118,085,582,807.65

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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.