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Finding the Third Proportional to 299,160,480 and 447,091,884

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Solution

The third proportional to 299,160,480 and 447,091,884 is: 668,173,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,160,480 : 447,091,884 = 447,091,884 : x
  2. Step 2: Convert to fraction form
    299,160,480/447,091,884 = 447,091,884/x
  3. Step 3: Cross multiply
    299,160,480x = 447,091,884 × 447,091,884
  4. Step 4: Simplify right side
    299,160,480x = 199,891,152,738,669,440
  5. Step 5: Solve for x
    x = 199,891,152,738,669,440/299,160,480
  6. Step 6: Final answer
    x = 668,173,659.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.