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Finding the Third Proportional to 17,353,428,129 and 24,437,450,808

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Solution

The third proportional to 17,353,428,129 and 24,437,450,808 is: 34,413,315,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,353,428,129 : 24,437,450,808 = 24,437,450,808 : x
  2. Step 2: Convert to fraction form
    17,353,428,129/24,437,450,808 = 24,437,450,808/x
  3. Step 3: Cross multiply
    17,353,428,129x = 24,437,450,808 × 24,437,450,808
  4. Step 4: Simplify right side
    17,353,428,129x = 597,189,001,993,419,882,496
  5. Step 5: Solve for x
    x = 597,189,001,993,419,882,496/17,353,428,129
  6. Step 6: Final answer
    x = 34,413,315,775.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.