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Finding the Third Proportional to 8,625,125,532 and 12,903,209,456

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Solution

The third proportional to 8,625,125,532 and 12,903,209,456 is: 19,303,233,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625,125,532 : 12,903,209,456 = 12,903,209,456 : x
  2. Step 2: Convert to fraction form
    8,625,125,532/12,903,209,456 = 12,903,209,456/x
  3. Step 3: Cross multiply
    8,625,125,532x = 12,903,209,456 × 12,903,209,456
  4. Step 4: Simplify right side
    8,625,125,532x = 166,492,814,265,407,832,064
  5. Step 5: Solve for x
    x = 166,492,814,265,407,832,064/8,625,125,532
  6. Step 6: Final answer
    x = 19,303,233,749.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.