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Finding the Third Proportional to 24,225,960.75 and 37,237,038

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Solution

The third proportional to 24,225,960.75 and 37,237,038 is: 57,235,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225,960.75 : 37,237,038 = 37,237,038 : x
  2. Step 2: Convert to fraction form
    24,225,960.75/37,237,038 = 37,237,038/x
  3. Step 3: Cross multiply
    24,225,960.75x = 37,237,038 × 37,237,038
  4. Step 4: Simplify right side
    24,225,960.75x = 1,386,596,999,013,444
  5. Step 5: Solve for x
    x = 1,386,596,999,013,444/24,225,960.75
  6. Step 6: Final answer
    x = 57,235,996.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.