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Finding the Third Proportional to 47,425,137 and 109,782,354

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Solution

The third proportional to 47,425,137 and 109,782,354 is: 254,130,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,425,137 : 109,782,354 = 109,782,354 : x
  2. Step 2: Convert to fraction form
    47,425,137/109,782,354 = 109,782,354/x
  3. Step 3: Cross multiply
    47,425,137x = 109,782,354 × 109,782,354
  4. Step 4: Simplify right side
    47,425,137x = 12,052,165,249,781,316
  5. Step 5: Solve for x
    x = 12,052,165,249,781,316/47,425,137
  6. Step 6: Final answer
    x = 254,130,320.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.