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Finding the Third Proportional to 454,306,998 and 988,213,273.50

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Solution

The third proportional to 454,306,998 and 988,213,273.50 is: 2,149,571,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,306,998 : 988,213,273.50 = 988,213,273.50 : x
  2. Step 2: Convert to fraction form
    454,306,998/988,213,273.50 = 988,213,273.50/x
  3. Step 3: Cross multiply
    454,306,998x = 988,213,273.50 × 988,213,273.50
  4. Step 4: Simplify right side
    454,306,998x = 976,565,473,921,585,792
  5. Step 5: Solve for x
    x = 976,565,473,921,585,792/454,306,998
  6. Step 6: Final answer
    x = 2,149,571,717.41

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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.