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Finding the Third Proportional to 41,398,726,776 and 90,050,937,700

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Solution

The third proportional to 41,398,726,776 and 90,050,937,700 is: 195,879,728,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,398,726,776 : 90,050,937,700 = 90,050,937,700 : x
  2. Step 2: Convert to fraction form
    41,398,726,776/90,050,937,700 = 90,050,937,700/x
  3. Step 3: Cross multiply
    41,398,726,776x = 90,050,937,700 × 90,050,937,700
  4. Step 4: Simplify right side
    41,398,726,776x = 8,109,171,380,649,281,454,080
  5. Step 5: Solve for x
    x = 8,109,171,380,649,281,454,080/41,398,726,776
  6. Step 6: Final answer
    x = 195,879,728,971.53

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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.