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Finding the Third Proportional to 130,670,360 and 284,384,582

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Solution

The third proportional to 130,670,360 and 284,384,582 is: 618,920,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,670,360 : 284,384,582 = 284,384,582 : x
  2. Step 2: Convert to fraction form
    130,670,360/284,384,582 = 284,384,582/x
  3. Step 3: Cross multiply
    130,670,360x = 284,384,582 × 284,384,582
  4. Step 4: Simplify right side
    130,670,360x = 80,874,590,479,314,720
  5. Step 5: Solve for x
    x = 80,874,590,479,314,720/130,670,360
  6. Step 6: Final answer
    x = 618,920,698.46

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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.