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Finding the Third Proportional to 5,829,792,786 and 12,588,536,783

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Solution

The third proportional to 5,829,792,786 and 12,588,536,783 is: 27,183,000,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829,792,786 : 12,588,536,783 = 12,588,536,783 : x
  2. Step 2: Convert to fraction form
    5,829,792,786/12,588,536,783 = 12,588,536,783/x
  3. Step 3: Cross multiply
    5,829,792,786x = 12,588,536,783 × 12,588,536,783
  4. Step 4: Simplify right side
    5,829,792,786x = 158,471,258,336,943,996,928
  5. Step 5: Solve for x
    x = 158,471,258,336,943,996,928/5,829,792,786
  6. Step 6: Final answer
    x = 27,183,000,177.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.