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Finding the Third Proportional to 12,884,603.25 and 27,613,598.63

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Solution

The third proportional to 12,884,603.25 and 27,613,598.63 is: 59,180,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884,603.25 : 27,613,598.63 = 27,613,598.63 : x
  2. Step 2: Convert to fraction form
    12,884,603.25/27,613,598.63 = 27,613,598.63/x
  3. Step 3: Cross multiply
    12,884,603.25x = 27,613,598.63 × 27,613,598.63
  4. Step 4: Simplify right side
    12,884,603.25x = 762,510,829,022,601.88
  5. Step 5: Solve for x
    x = 762,510,829,022,601.88/12,884,603.25
  6. Step 6: Final answer
    x = 59,180,000.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.