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Finding the Third Proportional to 5,656,661,988 and 11,474,616,684

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Solution

The third proportional to 5,656,661,988 and 11,474,616,684 is: 23,276,417,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656,661,988 : 11,474,616,684 = 11,474,616,684 : x
  2. Step 2: Convert to fraction form
    5,656,661,988/11,474,616,684 = 11,474,616,684/x
  3. Step 3: Cross multiply
    5,656,661,988x = 11,474,616,684 × 11,474,616,684
  4. Step 4: Simplify right side
    5,656,661,988x = 131,666,828,044,731,154,432
  5. Step 5: Solve for x
    x = 131,666,828,044,731,154,432/5,656,661,988
  6. Step 6: Final answer
    x = 23,276,417,845.73

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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.