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Finding the Third Proportional to 24,225,968.53 and 37,237,046.63

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Solution

The third proportional to 24,225,968.53 and 37,237,046.63 is: 57,236,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225,968.53 : 37,237,046.63 = 37,237,046.63 : x
  2. Step 2: Convert to fraction form
    24,225,968.53/37,237,046.63 = 37,237,046.63/x
  3. Step 3: Cross multiply
    24,225,968.53x = 37,237,046.63 × 37,237,046.63
  4. Step 4: Simplify right side
    24,225,968.53x = 1,386,597,641,352,424
  5. Step 5: Solve for x
    x = 1,386,597,641,352,424/24,225,968.53
  6. Step 6: Final answer
    x = 57,236,004.40

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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.