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Finding the Third Proportional to 23,209,744,424 and 34,839,182,489.50

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Solution

The third proportional to 23,209,744,424 and 34,839,182,489.50 is: 52,295,648,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209,744,424 : 34,839,182,489.50 = 34,839,182,489.50 : x
  2. Step 2: Convert to fraction form
    23,209,744,424/34,839,182,489.50 = 34,839,182,489.50/x
  3. Step 3: Cross multiply
    23,209,744,424x = 34,839,182,489.50 × 34,839,182,489.50
  4. Step 4: Simplify right side
    23,209,744,424x = 1,213,768,636,536,683,495,424
  5. Step 5: Solve for x
    x = 1,213,768,636,536,683,495,424/23,209,744,424
  6. Step 6: Final answer
    x = 52,295,648,515.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.