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Finding the Third Proportional to 25,237,025 and 54,781,197

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Solution

The third proportional to 25,237,025 and 54,781,197 is: 118,911,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,237,025 : 54,781,197 = 54,781,197 : x
  2. Step 2: Convert to fraction form
    25,237,025/54,781,197 = 54,781,197/x
  3. Step 3: Cross multiply
    25,237,025x = 54,781,197 × 54,781,197
  4. Step 4: Simplify right side
    25,237,025x = 3,000,979,544,752,809
  5. Step 5: Solve for x
    x = 3,000,979,544,752,809/25,237,025
  6. Step 6: Final answer
    x = 118,911,779.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.