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Finding the Third Proportional to 5,740,284 and 12,393,712

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Solution

The third proportional to 5,740,284 and 12,393,712 is: 26,758,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,284 : 12,393,712 = 12,393,712 : x
  2. Step 2: Convert to fraction form
    5,740,284/12,393,712 = 12,393,712/x
  3. Step 3: Cross multiply
    5,740,284x = 12,393,712 × 12,393,712
  4. Step 4: Simplify right side
    5,740,284x = 153,604,097,138,944
  5. Step 5: Solve for x
    x = 153,604,097,138,944/5,740,284
  6. Step 6: Final answer
    x = 26,758,971.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.