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Finding the Third Proportional to 27,430,016 and 37,360,964

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Solution

The third proportional to 27,430,016 and 37,360,964 is: 50,887,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430,016 : 37,360,964 = 37,360,964 : x
  2. Step 2: Convert to fraction form
    27,430,016/37,360,964 = 37,360,964/x
  3. Step 3: Cross multiply
    27,430,016x = 37,360,964 × 37,360,964
  4. Step 4: Simplify right side
    27,430,016x = 1,395,841,631,009,296
  5. Step 5: Solve for x
    x = 1,395,841,631,009,296/27,430,016
  6. Step 6: Final answer
    x = 50,887,379.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.