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Finding the Third Proportional to 12,294,518 and 27,064,465

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Solution

The third proportional to 12,294,518 and 27,064,465 is: 59,578,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294,518 : 27,064,465 = 27,064,465 : x
  2. Step 2: Convert to fraction form
    12,294,518/27,064,465 = 27,064,465/x
  3. Step 3: Cross multiply
    12,294,518x = 27,064,465 × 27,064,465
  4. Step 4: Simplify right side
    12,294,518x = 732,485,265,736,225
  5. Step 5: Solve for x
    x = 732,485,265,736,225/12,294,518
  6. Step 6: Final answer
    x = 59,578,201.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.