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Finding the Third Proportional to 16,271,807.34 and 34,750,408.22

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Solution

The third proportional to 16,271,807.34 and 34,750,408.22 is: 74,213,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271,807.34 : 34,750,408.22 = 34,750,408.22 : x
  2. Step 2: Convert to fraction form
    16,271,807.34/34,750,408.22 = 34,750,408.22/x
  3. Step 3: Cross multiply
    16,271,807.34x = 34,750,408.22 × 34,750,408.22
  4. Step 4: Simplify right side
    16,271,807.34x = 1,207,590,871,369,767.50
  5. Step 5: Solve for x
    x = 1,207,590,871,369,767.50/16,271,807.34
  6. Step 6: Final answer
    x = 74,213,690.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.