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Finding the Third Proportional to 411,060,968 and 970,030,324

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Solution

The third proportional to 411,060,968 and 970,030,324 is: 2,289,097,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,060,968 : 970,030,324 = 970,030,324 : x
  2. Step 2: Convert to fraction form
    411,060,968/970,030,324 = 970,030,324/x
  3. Step 3: Cross multiply
    411,060,968x = 970,030,324 × 970,030,324
  4. Step 4: Simplify right side
    411,060,968x = 940,958,829,479,544,960
  5. Step 5: Solve for x
    x = 940,958,829,479,544,960/411,060,968
  6. Step 6: Final answer
    x = 2,289,097,975.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.