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Finding the Third Proportional to 11,053,493,728 and 15,806,626,152

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Solution

The third proportional to 11,053,493,728 and 15,806,626,152 is: 22,603,661,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053,493,728 : 15,806,626,152 = 15,806,626,152 : x
  2. Step 2: Convert to fraction form
    11,053,493,728/15,806,626,152 = 15,806,626,152/x
  3. Step 3: Cross multiply
    11,053,493,728x = 15,806,626,152 × 15,806,626,152
  4. Step 4: Simplify right side
    11,053,493,728x = 249,849,430,309,090,328,576
  5. Step 5: Solve for x
    x = 249,849,430,309,090,328,576/11,053,493,728
  6. Step 6: Final answer
    x = 22,603,661,471.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.