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Finding the Third Proportional to 30,851,544 and 45,141,647.06

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Solution

The third proportional to 30,851,544 and 45,141,647.06 is: 66,050,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851,544 : 45,141,647.06 = 45,141,647.06 : x
  2. Step 2: Convert to fraction form
    30,851,544/45,141,647.06 = 45,141,647.06/x
  3. Step 3: Cross multiply
    30,851,544x = 45,141,647.06 × 45,141,647.06
  4. Step 4: Simplify right side
    30,851,544x = 2,037,768,299,515,315
  5. Step 5: Solve for x
    x = 2,037,768,299,515,315/30,851,544
  6. Step 6: Final answer
    x = 66,050,772.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.