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Finding the Third Proportional to 1,308,908,344.50 and 2,083,738,911

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Solution

The third proportional to 1,308,908,344.50 and 2,083,738,911 is: 3,317,243,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,908,344.50 : 2,083,738,911 = 2,083,738,911 : x
  2. Step 2: Convert to fraction form
    1,308,908,344.50/2,083,738,911 = 2,083,738,911/x
  3. Step 3: Cross multiply
    1,308,908,344.50x = 2,083,738,911 × 2,083,738,911
  4. Step 4: Simplify right side
    1,308,908,344.50x = 4,341,967,849,215,465,984
  5. Step 5: Solve for x
    x = 4,341,967,849,215,465,984/1,308,908,344.50
  6. Step 6: Final answer
    x = 3,317,243,615.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.