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Finding the Third Proportional to 30,641,047 and 47,509,978.50

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Solution

The third proportional to 30,641,047 and 47,509,978.50 is: 73,665,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641,047 : 47,509,978.50 = 47,509,978.50 : x
  2. Step 2: Convert to fraction form
    30,641,047/47,509,978.50 = 47,509,978.50/x
  3. Step 3: Cross multiply
    30,641,047x = 47,509,978.50 × 47,509,978.50
  4. Step 4: Simplify right side
    30,641,047x = 2,257,198,057,070,462
  5. Step 5: Solve for x
    x = 2,257,198,057,070,462/30,641,047
  6. Step 6: Final answer
    x = 73,665,826.66

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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.