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Finding the Third Proportional to 286,532,357,094 and 613,315,701,234

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Solution

The third proportional to 286,532,357,094 and 613,315,701,234 is: 1,312,787,683,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,532,357,094 : 613,315,701,234 = 613,315,701,234 : x
  2. Step 2: Convert to fraction form
    286,532,357,094/613,315,701,234 = 613,315,701,234/x
  3. Step 3: Cross multiply
    286,532,357,094x = 613,315,701,234 × 613,315,701,234
  4. Step 4: Simplify right side
    286,532,357,094x = 376,156,149,380,153,134,284,800
  5. Step 5: Solve for x
    x = 376,156,149,380,153,134,284,800/286,532,357,094
  6. Step 6: Final answer
    x = 1,312,787,683,719.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.