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Finding the Third Proportional to 9,307,845,431 and 13,060,749,717

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Solution

The third proportional to 9,307,845,431 and 13,060,749,717 is: 18,326,817,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307,845,431 : 13,060,749,717 = 13,060,749,717 : x
  2. Step 2: Convert to fraction form
    9,307,845,431/13,060,749,717 = 13,060,749,717/x
  3. Step 3: Cross multiply
    9,307,845,431x = 13,060,749,717 × 13,060,749,717
  4. Step 4: Simplify right side
    9,307,845,431x = 170,583,183,170,115,567,616
  5. Step 5: Solve for x
    x = 170,583,183,170,115,567,616/9,307,845,431
  6. Step 6: Final answer
    x = 18,326,817,353.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.