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Finding the Third Proportional to 41,644,496,176 and 63,442,509,308

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Solution

The third proportional to 41,644,496,176 and 63,442,509,308 is: 96,650,274,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644,496,176 : 63,442,509,308 = 63,442,509,308 : x
  2. Step 2: Convert to fraction form
    41,644,496,176/63,442,509,308 = 63,442,509,308/x
  3. Step 3: Cross multiply
    41,644,496,176x = 63,442,509,308 × 63,442,509,308
  4. Step 4: Simplify right side
    41,644,496,176x = 4,024,951,987,295,666,831,360
  5. Step 5: Solve for x
    x = 4,024,951,987,295,666,831,360/41,644,496,176
  6. Step 6: Final answer
    x = 96,650,274,511.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.