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Finding the Third Proportional to 19,835,671.50 and 30,052,903.50

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Solution

The third proportional to 19,835,671.50 and 30,052,903.50 is: 45,532,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835,671.50 : 30,052,903.50 = 30,052,903.50 : x
  2. Step 2: Convert to fraction form
    19,835,671.50/30,052,903.50 = 30,052,903.50/x
  3. Step 3: Cross multiply
    19,835,671.50x = 30,052,903.50 × 30,052,903.50
  4. Step 4: Simplify right side
    19,835,671.50x = 903,177,008,780,312.25
  5. Step 5: Solve for x
    x = 903,177,008,780,312.25/19,835,671.50
  6. Step 6: Final answer
    x = 45,532,968.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.