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Finding the Third Proportional to 6,962,402 and 10,643,763

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Solution

The third proportional to 6,962,402 and 10,643,763 is: 16,271,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962,402 : 10,643,763 = 10,643,763 : x
  2. Step 2: Convert to fraction form
    6,962,402/10,643,763 = 10,643,763/x
  3. Step 3: Cross multiply
    6,962,402x = 10,643,763 × 10,643,763
  4. Step 4: Simplify right side
    6,962,402x = 113,289,690,800,169
  5. Step 5: Solve for x
    x = 113,289,690,800,169/6,962,402
  6. Step 6: Final answer
    x = 16,271,638.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.