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Finding the Third Proportional to 9,968,961,678 and 21,272,217,564

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Solution

The third proportional to 9,968,961,678 and 21,272,217,564 is: 45,391,611,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968,961,678 : 21,272,217,564 = 21,272,217,564 : x
  2. Step 2: Convert to fraction form
    9,968,961,678/21,272,217,564 = 21,272,217,564/x
  3. Step 3: Cross multiply
    9,968,961,678x = 21,272,217,564 × 21,272,217,564
  4. Step 4: Simplify right side
    9,968,961,678x = 452,507,240,090,150,109,184
  5. Step 5: Solve for x
    x = 452,507,240,090,150,109,184/9,968,961,678
  6. Step 6: Final answer
    x = 45,391,611,955.81

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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.