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Finding the Third Proportional to 2,367,071,746 and 5,146,144,980

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Solution

The third proportional to 2,367,071,746 and 5,146,144,980 is: 11,188,003,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,071,746 : 5,146,144,980 = 5,146,144,980 : x
  2. Step 2: Convert to fraction form
    2,367,071,746/5,146,144,980 = 5,146,144,980/x
  3. Step 3: Cross multiply
    2,367,071,746x = 5,146,144,980 × 5,146,144,980
  4. Step 4: Simplify right side
    2,367,071,746x = 26,482,808,155,179,200,512
  5. Step 5: Solve for x
    x = 26,482,808,155,179,200,512/2,367,071,746
  6. Step 6: Final answer
    x = 11,188,003,996.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.