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Finding the Third Proportional to 14,029,414,864 and 30,528,571,424

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Solution

The third proportional to 14,029,414,864 and 30,528,571,424 is: 66,431,400,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029,414,864 : 30,528,571,424 = 30,528,571,424 : x
  2. Step 2: Convert to fraction form
    14,029,414,864/30,528,571,424 = 30,528,571,424/x
  3. Step 3: Cross multiply
    14,029,414,864x = 30,528,571,424 × 30,528,571,424
  4. Step 4: Simplify right side
    14,029,414,864x = 931,993,673,190,269,386,752
  5. Step 5: Solve for x
    x = 931,993,673,190,269,386,752/14,029,414,864
  6. Step 6: Final answer
    x = 66,431,400,184.89

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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.