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Finding the Third Proportional to 7,603,970.50 and 15,836,973.50

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Solution

The third proportional to 7,603,970.50 and 15,836,973.50 is: 32,984,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603,970.50 : 15,836,973.50 = 15,836,973.50 : x
  2. Step 2: Convert to fraction form
    7,603,970.50/15,836,973.50 = 15,836,973.50/x
  3. Step 3: Cross multiply
    7,603,970.50x = 15,836,973.50 × 15,836,973.50
  4. Step 4: Simplify right side
    7,603,970.50x = 250,809,729,639,702.25
  5. Step 5: Solve for x
    x = 250,809,729,639,702.25/7,603,970.50
  6. Step 6: Final answer
    x = 32,984,048.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.