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Finding the Third Proportional to 11,830,272 and 16,905,024

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Solution

The third proportional to 11,830,272 and 16,905,024 is: 24,156,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830,272 : 16,905,024 = 16,905,024 : x
  2. Step 2: Convert to fraction form
    11,830,272/16,905,024 = 16,905,024/x
  3. Step 3: Cross multiply
    11,830,272x = 16,905,024 × 16,905,024
  4. Step 4: Simplify right side
    11,830,272x = 285,779,836,440,576
  5. Step 5: Solve for x
    x = 285,779,836,440,576/11,830,272
  6. Step 6: Final answer
    x = 24,156,658.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.