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Finding the Third Proportional to 969,173,620 and 2,115,966,624

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Solution

The third proportional to 969,173,620 and 2,115,966,624 is: 4,619,724,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,173,620 : 2,115,966,624 = 2,115,966,624 : x
  2. Step 2: Convert to fraction form
    969,173,620/2,115,966,624 = 2,115,966,624/x
  3. Step 3: Cross multiply
    969,173,620x = 2,115,966,624 × 2,115,966,624
  4. Step 4: Simplify right side
    969,173,620x = 4,477,314,753,881,957,376
  5. Step 5: Solve for x
    x = 4,477,314,753,881,957,376/969,173,620
  6. Step 6: Final answer
    x = 4,619,724,125.26

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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.