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Finding the Third Proportional to 7,478,271.84 and 16,266,814.88

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Solution

The third proportional to 7,478,271.84 and 16,266,814.88 is: 35,383,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478,271.84 : 16,266,814.88 = 16,266,814.88 : x
  2. Step 2: Convert to fraction form
    7,478,271.84/16,266,814.88 = 16,266,814.88/x
  3. Step 3: Cross multiply
    7,478,271.84x = 16,266,814.88 × 16,266,814.88
  4. Step 4: Simplify right side
    7,478,271.84x = 264,609,266,177,521.25
  5. Step 5: Solve for x
    x = 264,609,266,177,521.25/7,478,271.84
  6. Step 6: Final answer
    x = 35,383,745.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.