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Finding the Third Proportional to 7,368,083,430 and 16,027,131,314

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Solution

The third proportional to 7,368,083,430 and 16,027,131,314 is: 34,862,381,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,368,083,430 : 16,027,131,314 = 16,027,131,314 : x
  2. Step 2: Convert to fraction form
    7,368,083,430/16,027,131,314 = 16,027,131,314/x
  3. Step 3: Cross multiply
    7,368,083,430x = 16,027,131,314 × 16,027,131,314
  4. Step 4: Simplify right side
    7,368,083,430x = 256,868,938,156,199,378,944
  5. Step 5: Solve for x
    x = 256,868,938,156,199,378,944/7,368,083,430
  6. Step 6: Final answer
    x = 34,862,381,865.86

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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.