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Finding the Third Proportional to 7,571,740 and 16,421,024

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Solution

The third proportional to 7,571,740 and 16,421,024 is: 35,612,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571,740 : 16,421,024 = 16,421,024 : x
  2. Step 2: Convert to fraction form
    7,571,740/16,421,024 = 16,421,024/x
  3. Step 3: Cross multiply
    7,571,740x = 16,421,024 × 16,421,024
  4. Step 4: Simplify right side
    7,571,740x = 269,650,029,208,576
  5. Step 5: Solve for x
    x = 269,650,029,208,576/7,571,740
  6. Step 6: Final answer
    x = 35,612,689.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.