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Finding the Third Proportional to 9,968,961,684 and 21,272,217,576

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Solution

The third proportional to 9,968,961,684 and 21,272,217,576 is: 45,391,611,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968,961,684 : 21,272,217,576 = 21,272,217,576 : x
  2. Step 2: Convert to fraction form
    9,968,961,684/21,272,217,576 = 21,272,217,576/x
  3. Step 3: Cross multiply
    9,968,961,684x = 21,272,217,576 × 21,272,217,576
  4. Step 4: Simplify right side
    9,968,961,684x = 452,507,240,600,683,347,968
  5. Step 5: Solve for x
    x = 452,507,240,600,683,347,968/9,968,961,684
  6. Step 6: Final answer
    x = 45,391,611,979.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.