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Finding the Third Proportional to 7,148,405,664 and 15,583,926,519

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Solution

The third proportional to 7,148,405,664 and 15,583,926,519 is: 33,973,836,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148,405,664 : 15,583,926,519 = 15,583,926,519 : x
  2. Step 2: Convert to fraction form
    7,148,405,664/15,583,926,519 = 15,583,926,519/x
  3. Step 3: Cross multiply
    7,148,405,664x = 15,583,926,519 × 15,583,926,519
  4. Step 4: Simplify right side
    7,148,405,664x = 242,858,765,749,591,441,408
  5. Step 5: Solve for x
    x = 242,858,765,749,591,441,408/7,148,405,664
  6. Step 6: Final answer
    x = 33,973,836,567.87

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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.