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Finding the Third Proportional to 30,178,503 and 47,864,974.50

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Solution

The third proportional to 30,178,503 and 47,864,974.50 is: 75,916,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178,503 : 47,864,974.50 = 47,864,974.50 : x
  2. Step 2: Convert to fraction form
    30,178,503/47,864,974.50 = 47,864,974.50/x
  3. Step 3: Cross multiply
    30,178,503x = 47,864,974.50 × 47,864,974.50
  4. Step 4: Simplify right side
    30,178,503x = 2,291,055,783,885,650
  5. Step 5: Solve for x
    x = 2,291,055,783,885,650/30,178,503
  6. Step 6: Final answer
    x = 75,916,813.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.