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Finding the Third Proportional to 27,431,202 and 37,615,648.50

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Solution

The third proportional to 27,431,202 and 37,615,648.50 is: 51,581,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431,202 : 37,615,648.50 = 37,615,648.50 : x
  2. Step 2: Convert to fraction form
    27,431,202/37,615,648.50 = 37,615,648.50/x
  3. Step 3: Cross multiply
    27,431,202x = 37,615,648.50 × 37,615,648.50
  4. Step 4: Simplify right side
    27,431,202x = 1,414,937,012,075,552.25
  5. Step 5: Solve for x
    x = 1,414,937,012,075,552.25/27,431,202
  6. Step 6: Final answer
    x = 51,581,298.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.