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Finding the Third Proportional to 47,874,051.75 and 75,819,033.75

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Solution

The third proportional to 47,874,051.75 and 75,819,033.75 is: 120,076,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874,051.75 : 75,819,033.75 = 75,819,033.75 : x
  2. Step 2: Convert to fraction form
    47,874,051.75/75,819,033.75 = 75,819,033.75/x
  3. Step 3: Cross multiply
    47,874,051.75x = 75,819,033.75 × 75,819,033.75
  4. Step 4: Simplify right side
    47,874,051.75x = 5,748,525,878,783,639
  5. Step 5: Solve for x
    x = 5,748,525,878,783,639/47,874,051.75
  6. Step 6: Final answer
    x = 120,076,025.92

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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.