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Finding the Third Proportional to 5,709,920,575 and 8,728,996,074

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Solution

The third proportional to 5,709,920,575 and 8,728,996,074 is: 13,344,383,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,920,575 : 8,728,996,074 = 8,728,996,074 : x
  2. Step 2: Convert to fraction form
    5,709,920,575/8,728,996,074 = 8,728,996,074/x
  3. Step 3: Cross multiply
    5,709,920,575x = 8,728,996,074 × 8,728,996,074
  4. Step 4: Simplify right side
    5,709,920,575x = 76,195,372,459,907,416,064
  5. Step 5: Solve for x
    x = 76,195,372,459,907,416,064/5,709,920,575
  6. Step 6: Final answer
    x = 13,344,383,947.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.