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Finding the Third Proportional to 13,974,468 and 30,539,721

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Solution

The third proportional to 13,974,468 and 30,539,721 is: 66,741,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974,468 : 30,539,721 = 30,539,721 : x
  2. Step 2: Convert to fraction form
    13,974,468/30,539,721 = 30,539,721/x
  3. Step 3: Cross multiply
    13,974,468x = 30,539,721 × 30,539,721
  4. Step 4: Simplify right side
    13,974,468x = 932,674,558,757,841
  5. Step 5: Solve for x
    x = 932,674,558,757,841/13,974,468
  6. Step 6: Final answer
    x = 66,741,328.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.