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Finding the Third Proportional to 32,006,099.25 and 45,736,022.25

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Solution

The third proportional to 32,006,099.25 and 45,736,022.25 is: 65,355,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006,099.25 : 45,736,022.25 = 45,736,022.25 : x
  2. Step 2: Convert to fraction form
    32,006,099.25/45,736,022.25 = 45,736,022.25/x
  3. Step 3: Cross multiply
    32,006,099.25x = 45,736,022.25 × 45,736,022.25
  4. Step 4: Simplify right side
    32,006,099.25x = 2,091,783,731,252,495
  5. Step 5: Solve for x
    x = 2,091,783,731,252,495/32,006,099.25
  6. Step 6: Final answer
    x = 65,355,784.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.