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Finding the Third Proportional to 1,426,649,234 and 2,893,412,596

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Solution

The third proportional to 1,426,649,234 and 2,893,412,596 is: 5,868,181,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,649,234 : 2,893,412,596 = 2,893,412,596 : x
  2. Step 2: Convert to fraction form
    1,426,649,234/2,893,412,596 = 2,893,412,596/x
  3. Step 3: Cross multiply
    1,426,649,234x = 2,893,412,596 × 2,893,412,596
  4. Step 4: Simplify right side
    1,426,649,234x = 8,371,836,450,691,459,072
  5. Step 5: Solve for x
    x = 8,371,836,450,691,459,072/1,426,649,234
  6. Step 6: Final answer
    x = 5,868,181,365.94

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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.