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Finding the Third Proportional to 22,430,145 and 33,607,903.50

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Solution

The third proportional to 22,430,145 and 33,607,903.50 is: 50,355,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430,145 : 33,607,903.50 = 33,607,903.50 : x
  2. Step 2: Convert to fraction form
    22,430,145/33,607,903.50 = 33,607,903.50/x
  3. Step 3: Cross multiply
    22,430,145x = 33,607,903.50 × 33,607,903.50
  4. Step 4: Simplify right side
    22,430,145x = 1,129,491,177,665,312.25
  5. Step 5: Solve for x
    x = 1,129,491,177,665,312.25/22,430,145
  6. Step 6: Final answer
    x = 50,355,946.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.