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Finding the Third Proportional to 845,421,749 and 1,714,614,838

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Solution

The third proportional to 845,421,749 and 1,714,614,838 is: 3,477,440,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,421,749 : 1,714,614,838 = 1,714,614,838 : x
  2. Step 2: Convert to fraction form
    845,421,749/1,714,614,838 = 1,714,614,838/x
  3. Step 3: Cross multiply
    845,421,749x = 1,714,614,838 × 1,714,614,838
  4. Step 4: Simplify right side
    845,421,749x = 2,939,904,042,689,766,400
  5. Step 5: Solve for x
    x = 2,939,904,042,689,766,400/845,421,749
  6. Step 6: Final answer
    x = 3,477,440,752.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.