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Finding the Third Proportional to 24,226,110 and 37,237,201.50

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Solution

The third proportional to 24,226,110 and 37,237,201.50 is: 57,236,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226,110 : 37,237,201.50 = 37,237,201.50 : x
  2. Step 2: Convert to fraction form
    24,226,110/37,237,201.50 = 37,237,201.50/x
  3. Step 3: Cross multiply
    24,226,110x = 37,237,201.50 × 37,237,201.50
  4. Step 4: Simplify right side
    24,226,110x = 1,386,609,175,551,602.25
  5. Step 5: Solve for x
    x = 1,386,609,175,551,602.25/24,226,110
  6. Step 6: Final answer
    x = 57,236,146.27

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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.