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Finding the Third Proportional to 454,307,010.75 and 988,213,297.50

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Solution

The third proportional to 454,307,010.75 and 988,213,297.50 is: 2,149,571,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,307,010.75 : 988,213,297.50 = 988,213,297.50 : x
  2. Step 2: Convert to fraction form
    454,307,010.75/988,213,297.50 = 988,213,297.50/x
  3. Step 3: Cross multiply
    454,307,010.75x = 988,213,297.50 × 988,213,297.50
  4. Step 4: Simplify right side
    454,307,010.75x = 976,565,521,355,823,488
  5. Step 5: Solve for x
    x = 976,565,521,355,823,488/454,307,010.75
  6. Step 6: Final answer
    x = 2,149,571,761.49

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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.