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Finding the Third Proportional to 5,496,078 and 11,746,903.50

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Solution

The third proportional to 5,496,078 and 11,746,903.50 is: 25,106,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496,078 : 11,746,903.50 = 11,746,903.50 : x
  2. Step 2: Convert to fraction form
    5,496,078/11,746,903.50 = 11,746,903.50/x
  3. Step 3: Cross multiply
    5,496,078x = 11,746,903.50 × 11,746,903.50
  4. Step 4: Simplify right side
    5,496,078x = 137,989,741,838,312.25
  5. Step 5: Solve for x
    x = 137,989,741,838,312.25/5,496,078
  6. Step 6: Final answer
    x = 25,106,947.51

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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.