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Finding the Third Proportional to 23,405,431.50 and 31,056,507

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Solution

The third proportional to 23,405,431.50 and 31,056,507 is: 41,208,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405,431.50 : 31,056,507 = 31,056,507 : x
  2. Step 2: Convert to fraction form
    23,405,431.50/31,056,507 = 31,056,507/x
  3. Step 3: Cross multiply
    23,405,431.50x = 31,056,507 × 31,056,507
  4. Step 4: Simplify right side
    23,405,431.50x = 964,506,627,041,049
  5. Step 5: Solve for x
    x = 964,506,627,041,049/23,405,431.50
  6. Step 6: Final answer
    x = 41,208,666.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.