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Finding the Third Proportional to 347,884,464 and 745,567,512

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Solution

The third proportional to 347,884,464 and 745,567,512 is: 1,597,860,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,884,464 : 745,567,512 = 745,567,512 : x
  2. Step 2: Convert to fraction form
    347,884,464/745,567,512 = 745,567,512/x
  3. Step 3: Cross multiply
    347,884,464x = 745,567,512 × 745,567,512
  4. Step 4: Simplify right side
    347,884,464x = 555,870,914,949,870,144
  5. Step 5: Solve for x
    x = 555,870,914,949,870,144/347,884,464
  6. Step 6: Final answer
    x = 1,597,860,705.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.