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Finding the Third Proportional to 952,205,704 and 1,470,738,624

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Solution

The third proportional to 952,205,704 and 1,470,738,624 is: 2,271,643,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,205,704 : 1,470,738,624 = 1,470,738,624 : x
  2. Step 2: Convert to fraction form
    952,205,704/1,470,738,624 = 1,470,738,624/x
  3. Step 3: Cross multiply
    952,205,704x = 1,470,738,624 × 1,470,738,624
  4. Step 4: Simplify right side
    952,205,704x = 2,163,072,100,125,413,376
  5. Step 5: Solve for x
    x = 2,163,072,100,125,413,376/952,205,704
  6. Step 6: Final answer
    x = 2,271,643,712.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.