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Finding the Third Proportional to 15,037,401 and 24,212,407.50

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Solution

The third proportional to 15,037,401 and 24,212,407.50 is: 38,985,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,037,401 : 24,212,407.50 = 24,212,407.50 : x
  2. Step 2: Convert to fraction form
    15,037,401/24,212,407.50 = 24,212,407.50/x
  3. Step 3: Cross multiply
    15,037,401x = 24,212,407.50 × 24,212,407.50
  4. Step 4: Simplify right side
    15,037,401x = 586,240,676,946,056.25
  5. Step 5: Solve for x
    x = 586,240,676,946,056.25/15,037,401
  6. Step 6: Final answer
    x = 38,985,505.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.