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Finding the Third Proportional to 6,283,708,982 and 13,670,649,704

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Solution

The third proportional to 6,283,708,982 and 13,670,649,704 is: 29,741,457,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,708,982 : 13,670,649,704 = 13,670,649,704 : x
  2. Step 2: Convert to fraction form
    6,283,708,982/13,670,649,704 = 13,670,649,704/x
  3. Step 3: Cross multiply
    6,283,708,982x = 13,670,649,704 × 13,670,649,704
  4. Step 4: Simplify right side
    6,283,708,982x = 186,886,663,329,475,297,280
  5. Step 5: Solve for x
    x = 186,886,663,329,475,297,280/6,283,708,982
  6. Step 6: Final answer
    x = 29,741,457,452.09

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