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Finding the Third Proportional to 13,909,072 and 21,276,677

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Solution

The third proportional to 13,909,072 and 21,276,677 is: 32,546,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909,072 : 21,276,677 = 21,276,677 : x
  2. Step 2: Convert to fraction form
    13,909,072/21,276,677 = 21,276,677/x
  3. Step 3: Cross multiply
    13,909,072x = 21,276,677 × 21,276,677
  4. Step 4: Simplify right side
    13,909,072x = 452,696,984,162,329
  5. Step 5: Solve for x
    x = 452,696,984,162,329/13,909,072
  6. Step 6: Final answer
    x = 32,546,886.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.