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Finding the Third Proportional to 6,271,286.63 and 9,164,849.63

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Solution

The third proportional to 6,271,286.63 and 9,164,849.63 is: 13,393,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271,286.63 : 9,164,849.63 = 9,164,849.63 : x
  2. Step 2: Convert to fraction form
    6,271,286.63/9,164,849.63 = 9,164,849.63/x
  3. Step 3: Cross multiply
    6,271,286.63x = 9,164,849.63 × 9,164,849.63
  4. Step 4: Simplify right side
    6,271,286.63x = 83,994,468,648,862.64
  5. Step 5: Solve for x
    x = 83,994,468,648,862.64/6,271,286.63
  6. Step 6: Final answer
    x = 13,393,498.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.