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Finding the Third Proportional to 23,050,372.50 and 49,368,730.50

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Solution

The third proportional to 23,050,372.50 and 49,368,730.50 is: 105,736,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050,372.50 : 49,368,730.50 = 49,368,730.50 : x
  2. Step 2: Convert to fraction form
    23,050,372.50/49,368,730.50 = 49,368,730.50/x
  3. Step 3: Cross multiply
    23,050,372.50x = 49,368,730.50 × 49,368,730.50
  4. Step 4: Simplify right side
    23,050,372.50x = 2,437,271,551,181,630
  5. Step 5: Solve for x
    x = 2,437,271,551,181,630/23,050,372.50
  6. Step 6: Final answer
    x = 105,736,753.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.