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Finding the Third Proportional to 21,872,210 and 47,863,756

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Solution

The third proportional to 21,872,210 and 47,863,756 is: 104,742,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872,210 : 47,863,756 = 47,863,756 : x
  2. Step 2: Convert to fraction form
    21,872,210/47,863,756 = 47,863,756/x
  3. Step 3: Cross multiply
    21,872,210x = 47,863,756 × 47,863,756
  4. Step 4: Simplify right side
    21,872,210x = 2,290,939,138,427,536
  5. Step 5: Solve for x
    x = 2,290,939,138,427,536/21,872,210
  6. Step 6: Final answer
    x = 104,742,005.42

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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.