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Finding the Third Proportional to 6,283,708,989 and 13,670,649,720

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Solution

The third proportional to 6,283,708,989 and 13,670,649,720 is: 29,741,457,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,708,989 : 13,670,649,720 = 13,670,649,720 : x
  2. Step 2: Convert to fraction form
    6,283,708,989/13,670,649,720 = 13,670,649,720/x
  3. Step 3: Cross multiply
    6,283,708,989x = 13,670,649,720 × 13,670,649,720
  4. Step 4: Simplify right side
    6,283,708,989x = 186,886,663,766,936,092,672
  5. Step 5: Solve for x
    x = 186,886,663,766,936,092,672/6,283,708,989
  6. Step 6: Final answer
    x = 29,741,457,488.58

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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.