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Finding the Third Proportional to 4,368,905 and 6,838,483.50

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Solution

The third proportional to 4,368,905 and 6,838,483.50 is: 10,704,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368,905 : 6,838,483.50 = 6,838,483.50 : x
  2. Step 2: Convert to fraction form
    4,368,905/6,838,483.50 = 6,838,483.50/x
  3. Step 3: Cross multiply
    4,368,905x = 6,838,483.50 × 6,838,483.50
  4. Step 4: Simplify right side
    4,368,905x = 46,764,856,579,772.25
  5. Step 5: Solve for x
    x = 46,764,856,579,772.25/4,368,905
  6. Step 6: Final answer
    x = 10,704,022.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.