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Finding the Third Proportional to 27,430,014 and 37,360,961

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Solution

The third proportional to 27,430,014 and 37,360,961 is: 50,887,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430,014 : 37,360,961 = 37,360,961 : x
  2. Step 2: Convert to fraction form
    27,430,014/37,360,961 = 37,360,961/x
  3. Step 3: Cross multiply
    27,430,014x = 37,360,961 × 37,360,961
  4. Step 4: Simplify right side
    27,430,014x = 1,395,841,406,843,521
  5. Step 5: Solve for x
    x = 1,395,841,406,843,521/27,430,014
  6. Step 6: Final answer
    x = 50,887,374.93

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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.