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Finding the Third Proportional to 347,884,500 and 745,567,584

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Solution

The third proportional to 347,884,500 and 745,567,584 is: 1,597,860,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,884,500 : 745,567,584 = 745,567,584 : x
  2. Step 2: Convert to fraction form
    347,884,500/745,567,584 = 745,567,584/x
  3. Step 3: Cross multiply
    347,884,500x = 745,567,584 × 745,567,584
  4. Step 4: Simplify right side
    347,884,500x = 555,871,022,311,597,056
  5. Step 5: Solve for x
    x = 555,871,022,311,597,056/347,884,500
  6. Step 6: Final answer
    x = 1,597,860,848.39

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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.