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Finding the Third Proportional to 6,314,364 and 13,888,440

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Solution

The third proportional to 6,314,364 and 13,888,440 is: 30,547,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,364 : 13,888,440 = 13,888,440 : x
  2. Step 2: Convert to fraction form
    6,314,364/13,888,440 = 13,888,440/x
  3. Step 3: Cross multiply
    6,314,364x = 13,888,440 × 13,888,440
  4. Step 4: Simplify right side
    6,314,364x = 192,888,765,633,600
  5. Step 5: Solve for x
    x = 192,888,765,633,600/6,314,364
  6. Step 6: Final answer
    x = 30,547,615.82

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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.