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Finding the Third Proportional to 10,106,539.50 and 15,550,157

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Solution

The third proportional to 10,106,539.50 and 15,550,157 is: 23,925,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,539.50 : 15,550,157 = 15,550,157 : x
  2. Step 2: Convert to fraction form
    10,106,539.50/15,550,157 = 15,550,157/x
  3. Step 3: Cross multiply
    10,106,539.50x = 15,550,157 × 15,550,157
  4. Step 4: Simplify right side
    10,106,539.50x = 241,807,382,724,649
  5. Step 5: Solve for x
    x = 241,807,382,724,649/10,106,539.50
  6. Step 6: Final answer
    x = 23,925,833.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.