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Finding the Third Proportional to 32,873,564,137.50 and 50,819,973,934.50

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Solution

The third proportional to 32,873,564,137.50 and 50,819,973,934.50 is: 78,563,727,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873,564,137.50 : 50,819,973,934.50 = 50,819,973,934.50 : x
  2. Step 2: Convert to fraction form
    32,873,564,137.50/50,819,973,934.50 = 50,819,973,934.50/x
  3. Step 3: Cross multiply
    32,873,564,137.50x = 50,819,973,934.50 × 50,819,973,934.50
  4. Step 4: Simplify right side
    32,873,564,137.50x = 2,582,669,750,703,259,385,856
  5. Step 5: Solve for x
    x = 2,582,669,750,703,259,385,856/32,873,564,137.50
  6. Step 6: Final answer
    x = 78,563,727,982.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.