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Finding the Third Proportional to 6,435,462 and 9,456,202

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Solution

The third proportional to 6,435,462 and 9,456,202 is: 13,894,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435,462 : 9,456,202 = 9,456,202 : x
  2. Step 2: Convert to fraction form
    6,435,462/9,456,202 = 9,456,202/x
  3. Step 3: Cross multiply
    6,435,462x = 9,456,202 × 9,456,202
  4. Step 4: Simplify right side
    6,435,462x = 89,419,756,264,804
  5. Step 5: Solve for x
    x = 89,419,756,264,804/6,435,462
  6. Step 6: Final answer
    x = 13,894,846.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.