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Finding the Third Proportional to 6,300,584 and 13,741,492

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Solution

The third proportional to 6,300,584 and 13,741,492 is: 29,970,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300,584 : 13,741,492 = 13,741,492 : x
  2. Step 2: Convert to fraction form
    6,300,584/13,741,492 = 13,741,492/x
  3. Step 3: Cross multiply
    6,300,584x = 13,741,492 × 13,741,492
  4. Step 4: Simplify right side
    6,300,584x = 188,828,602,386,064
  5. Step 5: Solve for x
    x = 188,828,602,386,064/6,300,584
  6. Step 6: Final answer
    x = 29,970,015.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.