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Finding the Third Proportional to 4,786,391,117 and 7,352,482,796

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Solution

The third proportional to 4,786,391,117 and 7,352,482,796 is: 11,294,313,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786,391,117 : 7,352,482,796 = 7,352,482,796 : x
  2. Step 2: Convert to fraction form
    4,786,391,117/7,352,482,796 = 7,352,482,796/x
  3. Step 3: Cross multiply
    4,786,391,117x = 7,352,482,796 × 7,352,482,796
  4. Step 4: Simplify right side
    4,786,391,117x = 54,059,003,265,475,977,216
  5. Step 5: Solve for x
    x = 54,059,003,265,475,977,216/4,786,391,117
  6. Step 6: Final answer
    x = 11,294,313,804.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.