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Finding the Third Proportional to 14,029,414,866 and 30,528,571,428

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Solution

The third proportional to 14,029,414,866 and 30,528,571,428 is: 66,431,400,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029,414,866 : 30,528,571,428 = 30,528,571,428 : x
  2. Step 2: Convert to fraction form
    14,029,414,866/30,528,571,428 = 30,528,571,428/x
  3. Step 3: Cross multiply
    14,029,414,866x = 30,528,571,428 × 30,528,571,428
  4. Step 4: Simplify right side
    14,029,414,866x = 931,993,673,434,497,941,504
  5. Step 5: Solve for x
    x = 931,993,673,434,497,941,504/14,029,414,866
  6. Step 6: Final answer
    x = 66,431,400,192.83

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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.