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Finding the Third Proportional to 14,029,413,584 and 30,528,569,112

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Solution

The third proportional to 14,029,413,584 and 30,528,569,112 is: 66,431,396,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029,413,584 : 30,528,569,112 = 30,528,569,112 : x
  2. Step 2: Convert to fraction form
    14,029,413,584/30,528,569,112 = 30,528,569,112/x
  3. Step 3: Cross multiply
    14,029,413,584x = 30,528,569,112 × 30,528,569,112
  4. Step 4: Simplify right side
    14,029,413,584x = 931,993,532,026,160,414,720
  5. Step 5: Solve for x
    x = 931,993,532,026,160,414,720/14,029,413,584
  6. Step 6: Final answer
    x = 66,431,396,183.88

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Why These Related Problems?

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