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Finding the Third Proportional to 6,492,449,149 and 14,180,241,784

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Solution

The third proportional to 6,492,449,149 and 14,180,241,784 is: 30,971,248,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492,449,149 : 14,180,241,784 = 14,180,241,784 : x
  2. Step 2: Convert to fraction form
    6,492,449,149/14,180,241,784 = 14,180,241,784/x
  3. Step 3: Cross multiply
    6,492,449,149x = 14,180,241,784 × 14,180,241,784
  4. Step 4: Simplify right side
    6,492,449,149x = 201,079,257,052,699,492,352
  5. Step 5: Solve for x
    x = 201,079,257,052,699,492,352/6,492,449,149
  6. Step 6: Final answer
    x = 30,971,248,667.18

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Why These Related Problems?

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