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Finding the Third Proportional to 28,446,781,644,760 and 45,264,421,782,954

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Solution

The third proportional to 28,446,781,644,760 and 45,264,421,782,954 is: 72,024,593,324,165

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,446,781,644,760 : 45,264,421,782,954 = 45,264,421,782,954 : x
  2. Step 2: Convert to fraction form
    28,446,781,644,760/45,264,421,782,954 = 45,264,421,782,954/x
  3. Step 3: Cross multiply
    28,446,781,644,760x = 45,264,421,782,954 × 45,264,421,782,954
  4. Step 4: Simplify right side
    28,446,781,644,760x = 2,048,867,879,345,160,594,065,981,440
  5. Step 5: Solve for x
    x = 2,048,867,879,345,160,594,065,981,440/28,446,781,644,760
  6. Step 6: Final answer
    x = 72,024,593,324,165

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Why These Related Problems?

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