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Finding the Third Proportional to 41,398,726,791 and 90,050,937,729

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Solution

The third proportional to 41,398,726,791 and 90,050,937,729 is: 195,879,729,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,398,726,791 : 90,050,937,729 = 90,050,937,729 : x
  2. Step 2: Convert to fraction form
    41,398,726,791/90,050,937,729 = 90,050,937,729/x
  3. Step 3: Cross multiply
    41,398,726,791x = 90,050,937,729 × 90,050,937,729
  4. Step 4: Simplify right side
    41,398,726,791x = 8,109,171,385,872,235,364,352
  5. Step 5: Solve for x
    x = 8,109,171,385,872,235,364,352/41,398,726,791
  6. Step 6: Final answer
    x = 195,879,729,026.72

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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.