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Finding the Third Proportional to 2,029,778,280 and 3,229,809,828

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Solution

The third proportional to 2,029,778,280 and 3,229,809,828 is: 5,139,315,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,778,280 : 3,229,809,828 = 3,229,809,828 : x
  2. Step 2: Convert to fraction form
    2,029,778,280/3,229,809,828 = 3,229,809,828/x
  3. Step 3: Cross multiply
    2,029,778,280x = 3,229,809,828 × 3,229,809,828
  4. Step 4: Simplify right side
    2,029,778,280x = 10,431,671,525,045,389,312
  5. Step 5: Solve for x
    x = 10,431,671,525,045,389,312/2,029,778,280
  6. Step 6: Final answer
    x = 5,139,315,770.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.