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Finding the Third Proportional to 1,847,929,649 and 4,109,027,230

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Solution

The third proportional to 1,847,929,649 and 4,109,027,230 is: 9,136,768,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,929,649 : 4,109,027,230 = 4,109,027,230 : x
  2. Step 2: Convert to fraction form
    1,847,929,649/4,109,027,230 = 4,109,027,230/x
  3. Step 3: Cross multiply
    1,847,929,649x = 4,109,027,230 × 4,109,027,230
  4. Step 4: Simplify right side
    1,847,929,649x = 16,884,104,776,881,473,536
  5. Step 5: Solve for x
    x = 16,884,104,776,881,473,536/1,847,929,649
  6. Step 6: Final answer
    x = 9,136,768,158.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.