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Finding the Third Proportional to 4,564,374 and 9,638,037

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Solution

The third proportional to 4,564,374 and 9,638,037 is: 20,351,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564,374 : 9,638,037 = 9,638,037 : x
  2. Step 2: Convert to fraction form
    4,564,374/9,638,037 = 9,638,037/x
  3. Step 3: Cross multiply
    4,564,374x = 9,638,037 × 9,638,037
  4. Step 4: Simplify right side
    4,564,374x = 92,891,757,213,369
  5. Step 5: Solve for x
    x = 92,891,757,213,369/4,564,374
  6. Step 6: Final answer
    x = 20,351,478.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.