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Finding the Third Proportional to 21,872,216.25 and 47,863,768.50

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Solution

The third proportional to 21,872,216.25 and 47,863,768.50 is: 104,742,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872,216.25 : 47,863,768.50 = 47,863,768.50 : x
  2. Step 2: Convert to fraction form
    21,872,216.25/47,863,768.50 = 47,863,768.50/x
  3. Step 3: Cross multiply
    21,872,216.25x = 47,863,768.50 × 47,863,768.50
  4. Step 4: Simplify right side
    21,872,216.25x = 2,290,940,335,021,592
  5. Step 5: Solve for x
    x = 2,290,940,335,021,592/21,872,216.25
  6. Step 6: Final answer
    x = 104,742,030.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.