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Finding the Third Proportional to 30,925,224 and 45,441,184.50

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Solution

The third proportional to 30,925,224 and 45,441,184.50 is: 66,770,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,925,224 : 45,441,184.50 = 45,441,184.50 : x
  2. Step 2: Convert to fraction form
    30,925,224/45,441,184.50 = 45,441,184.50/x
  3. Step 3: Cross multiply
    30,925,224x = 45,441,184.50 × 45,441,184.50
  4. Step 4: Simplify right side
    30,925,224x = 2,064,901,248,763,040.25
  5. Step 5: Solve for x
    x = 2,064,901,248,763,040.25/30,925,224
  6. Step 6: Final answer
    x = 66,770,777.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.