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Finding the Third Proportional to 30,186,192 and 47,072,890.50

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Solution

The third proportional to 30,186,192 and 47,072,890.50 is: 73,406,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186,192 : 47,072,890.50 = 47,072,890.50 : x
  2. Step 2: Convert to fraction form
    30,186,192/47,072,890.50 = 47,072,890.50/x
  3. Step 3: Cross multiply
    30,186,192x = 47,072,890.50 × 47,072,890.50
  4. Step 4: Simplify right side
    30,186,192x = 2,215,857,020,024,990.25
  5. Step 5: Solve for x
    x = 2,215,857,020,024,990.25/30,186,192
  6. Step 6: Final answer
    x = 73,406,311.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.