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Finding the Third Proportional to 47,874,051.50 and 75,819,033.50

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Solution

The third proportional to 47,874,051.50 and 75,819,033.50 is: 120,076,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874,051.50 : 75,819,033.50 = 75,819,033.50 : x
  2. Step 2: Convert to fraction form
    47,874,051.50/75,819,033.50 = 75,819,033.50/x
  3. Step 3: Cross multiply
    47,874,051.50x = 75,819,033.50 × 75,819,033.50
  4. Step 4: Simplify right side
    47,874,051.50x = 5,748,525,840,874,122
  5. Step 5: Solve for x
    x = 5,748,525,840,874,122/47,874,051.50
  6. Step 6: Final answer
    x = 120,076,025.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.