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Finding the Third Proportional to 12,674,972 and 27,370,460

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Solution

The third proportional to 12,674,972 and 27,370,460 is: 59,104,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674,972 : 27,370,460 = 27,370,460 : x
  2. Step 2: Convert to fraction form
    12,674,972/27,370,460 = 27,370,460/x
  3. Step 3: Cross multiply
    12,674,972x = 27,370,460 × 27,370,460
  4. Step 4: Simplify right side
    12,674,972x = 749,142,080,611,600
  5. Step 5: Solve for x
    x = 749,142,080,611,600/12,674,972
  6. Step 6: Final answer
    x = 59,104,042.25

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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.