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Finding the Third Proportional to 12,005,284 and 26,287,532

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Solution

The third proportional to 12,005,284 and 26,287,532 is: 57,560,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005,284 : 26,287,532 = 26,287,532 : x
  2. Step 2: Convert to fraction form
    12,005,284/26,287,532 = 26,287,532/x
  3. Step 3: Cross multiply
    12,005,284x = 26,287,532 × 26,287,532
  4. Step 4: Simplify right side
    12,005,284x = 691,034,338,651,024
  5. Step 5: Solve for x
    x = 691,034,338,651,024/12,005,284
  6. Step 6: Final answer
    x = 57,560,848.93

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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.