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Finding the Third Proportional to 346,923,670 and 757,420,320

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Solution

The third proportional to 346,923,670 and 757,420,320 is: 1,653,636,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,923,670 : 757,420,320 = 757,420,320 : x
  2. Step 2: Convert to fraction form
    346,923,670/757,420,320 = 757,420,320/x
  3. Step 3: Cross multiply
    346,923,670x = 757,420,320 × 757,420,320
  4. Step 4: Simplify right side
    346,923,670x = 573,685,541,148,902,400
  5. Step 5: Solve for x
    x = 573,685,541,148,902,400/346,923,670
  6. Step 6: Final answer
    x = 1,653,636,205.19

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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.