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Finding the Third Proportional to 32,006,076.75 and 45,735,986.81

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Solution

The third proportional to 32,006,076.75 and 45,735,986.81 is: 65,355,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006,076.75 : 45,735,986.81 = 45,735,986.81 : x
  2. Step 2: Convert to fraction form
    32,006,076.75/45,735,986.81 = 45,735,986.81/x
  3. Step 3: Cross multiply
    32,006,076.75x = 45,735,986.81 × 45,735,986.81
  4. Step 4: Simplify right side
    32,006,076.75x = 2,091,780,489,713,174
  5. Step 5: Solve for x
    x = 2,091,780,489,713,174/32,006,076.75
  6. Step 6: Final answer
    x = 65,355,729.35

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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.