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Finding the Third Proportional to 6,286,023,441 and 13,688,072,986.50

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Solution

The third proportional to 6,286,023,441 and 13,688,072,986.50 is: 29,806,338,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,023,441 : 13,688,072,986.50 = 13,688,072,986.50 : x
  2. Step 2: Convert to fraction form
    6,286,023,441/13,688,072,986.50 = 13,688,072,986.50/x
  3. Step 3: Cross multiply
    6,286,023,441x = 13,688,072,986.50 × 13,688,072,986.50
  4. Step 4: Simplify right side
    6,286,023,441x = 187,363,342,083,751,018,496
  5. Step 5: Solve for x
    x = 187,363,342,083,751,018,496/6,286,023,441
  6. Step 6: Final answer
    x = 29,806,338,433.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.