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Finding the Third Proportional to 341,471,823 and 734,734,128

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Solution

The third proportional to 341,471,823 and 734,734,128 is: 1,580,904,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,471,823 : 734,734,128 = 734,734,128 : x
  2. Step 2: Convert to fraction form
    341,471,823/734,734,128 = 734,734,128/x
  3. Step 3: Cross multiply
    341,471,823x = 734,734,128 × 734,734,128
  4. Step 4: Simplify right side
    341,471,823x = 539,834,238,847,920,384
  5. Step 5: Solve for x
    x = 539,834,238,847,920,384/341,471,823
  6. Step 6: Final answer
    x = 1,580,904,199.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.