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Finding the Third Proportional to 30,078,121.50 and 43,849,693.50

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Solution

The third proportional to 30,078,121.50 and 43,849,693.50 is: 63,926,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078,121.50 : 43,849,693.50 = 43,849,693.50 : x
  2. Step 2: Convert to fraction form
    30,078,121.50/43,849,693.50 = 43,849,693.50/x
  3. Step 3: Cross multiply
    30,078,121.50x = 43,849,693.50 × 43,849,693.50
  4. Step 4: Simplify right side
    30,078,121.50x = 1,922,795,620,043,942.25
  5. Step 5: Solve for x
    x = 1,922,795,620,043,942.25/30,078,121.50
  6. Step 6: Final answer
    x = 63,926,718.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.