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Finding the Third Proportional to 21,872,344 and 47,864,025

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Solution

The third proportional to 21,872,344 and 47,864,025 is: 104,742,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872,344 : 47,864,025 = 47,864,025 : x
  2. Step 2: Convert to fraction form
    21,872,344/47,864,025 = 47,864,025/x
  3. Step 3: Cross multiply
    21,872,344x = 47,864,025 × 47,864,025
  4. Step 4: Simplify right side
    21,872,344x = 2,290,964,889,200,625
  5. Step 5: Solve for x
    x = 2,290,964,889,200,625/21,872,344
  6. Step 6: Final answer
    x = 104,742,541.05

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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.