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Finding the Third Proportional to 8,625,125,624 and 12,903,209,590

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Solution

The third proportional to 8,625,125,624 and 12,903,209,590 is: 19,303,233,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625,125,624 : 12,903,209,590 = 12,903,209,590 : x
  2. Step 2: Convert to fraction form
    8,625,125,624/12,903,209,590 = 12,903,209,590/x
  3. Step 3: Cross multiply
    8,625,125,624x = 12,903,209,590 × 12,903,209,590
  4. Step 4: Simplify right side
    8,625,125,624x = 166,492,817,723,467,956,224
  5. Step 5: Solve for x
    x = 166,492,817,723,467,956,224/8,625,125,624
  6. Step 6: Final answer
    x = 19,303,233,944.81

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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.