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Finding the Third Proportional to 6,645,941 and 9,957,857.50

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Solution

The third proportional to 6,645,941 and 9,957,857.50 is: 14,920,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645,941 : 9,957,857.50 = 9,957,857.50 : x
  2. Step 2: Convert to fraction form
    6,645,941/9,957,857.50 = 9,957,857.50/x
  3. Step 3: Cross multiply
    6,645,941x = 9,957,857.50 × 9,957,857.50
  4. Step 4: Simplify right side
    6,645,941x = 99,158,925,990,306.25
  5. Step 5: Solve for x
    x = 99,158,925,990,306.25/6,645,941
  6. Step 6: Final answer
    x = 14,920,223.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.