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Finding the Third Proportional to 17,353,428,106 and 24,437,450,765

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Solution

The third proportional to 17,353,428,106 and 24,437,450,765 is: 34,413,315,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,353,428,106 : 24,437,450,765 = 24,437,450,765 : x
  2. Step 2: Convert to fraction form
    17,353,428,106/24,437,450,765 = 24,437,450,765/x
  3. Step 3: Cross multiply
    17,353,428,106x = 24,437,450,765 × 24,437,450,765
  4. Step 4: Simplify right side
    17,353,428,106x = 597,188,999,891,799,113,728
  5. Step 5: Solve for x
    x = 597,188,999,891,799,113,728/17,353,428,106
  6. Step 6: Final answer
    x = 34,413,315,700.16

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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.