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Finding the Third Proportional to 6,283,708,979.06 and 13,670,649,698.06

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Solution

The third proportional to 6,283,708,979.06 and 13,670,649,698.06 is: 29,741,457,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,708,979.06 : 13,670,649,698.06 = 13,670,649,698.06 : x
  2. Step 2: Convert to fraction form
    6,283,708,979.06/13,670,649,698.06 = 13,670,649,698.06/x
  3. Step 3: Cross multiply
    6,283,708,979.06x = 13,670,649,698.06 × 13,670,649,698.06
  4. Step 4: Simplify right side
    6,283,708,979.06x = 186,886,663,167,122,669,568
  5. Step 5: Solve for x
    x = 186,886,663,167,122,669,568/6,283,708,979.06
  6. Step 6: Final answer
    x = 29,741,457,440.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.