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Finding the Third Proportional to 21,650,324 and 47,111,978.25

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Solution

The third proportional to 21,650,324 and 47,111,978.25 is: 102,517,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,650,324 : 47,111,978.25 = 47,111,978.25 : x
  2. Step 2: Convert to fraction form
    21,650,324/47,111,978.25 = 47,111,978.25/x
  3. Step 3: Cross multiply
    21,650,324x = 47,111,978.25 × 47,111,978.25
  4. Step 4: Simplify right side
    21,650,324x = 2,219,538,494,628,473
  5. Step 5: Solve for x
    x = 2,219,538,494,628,473/21,650,324
  6. Step 6: Final answer
    x = 102,517,564.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.