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Finding the Third Proportional to 13,773,827.25 and 30,065,519.25

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Solution

The third proportional to 13,773,827.25 and 30,065,519.25 is: 65,627,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773,827.25 : 30,065,519.25 = 30,065,519.25 : x
  2. Step 2: Convert to fraction form
    13,773,827.25/30,065,519.25 = 30,065,519.25/x
  3. Step 3: Cross multiply
    13,773,827.25x = 30,065,519.25 × 30,065,519.25
  4. Step 4: Simplify right side
    13,773,827.25x = 903,935,447,772,120.50
  5. Step 5: Solve for x
    x = 903,935,447,772,120.50/13,773,827.25
  6. Step 6: Final answer
    x = 65,627,035.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.