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Finding the Third Proportional to 39,740,453,838 and 80,648,660,695.50

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Solution

The third proportional to 39,740,453,838 and 80,648,660,695.50 is: 163,667,141,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,740,453,838 : 80,648,660,695.50 = 80,648,660,695.50 : x
  2. Step 2: Convert to fraction form
    39,740,453,838/80,648,660,695.50 = 80,648,660,695.50/x
  3. Step 3: Cross multiply
    39,740,453,838x = 80,648,660,695.50 × 80,648,660,695.50
  4. Step 4: Simplify right side
    39,740,453,838x = 6,504,206,471,977,886,547,968
  5. Step 5: Solve for x
    x = 6,504,206,471,977,886,547,968/39,740,453,838
  6. Step 6: Final answer
    x = 163,667,141,258.43

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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.