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Finding the Third Proportional to 24,729,007 and 37,827,789

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Solution

The third proportional to 24,729,007 and 37,827,789 is: 57,864,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729,007 : 37,827,789 = 37,827,789 : x
  2. Step 2: Convert to fraction form
    24,729,007/37,827,789 = 37,827,789/x
  3. Step 3: Cross multiply
    24,729,007x = 37,827,789 × 37,827,789
  4. Step 4: Simplify right side
    24,729,007x = 1,430,941,620,628,521
  5. Step 5: Solve for x
    x = 1,430,941,620,628,521/24,729,007
  6. Step 6: Final answer
    x = 57,864,904.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.