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Finding the Third Proportional to 7,748,113 and 18,005,162.50

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Solution

The third proportional to 7,748,113 and 18,005,162.50 is: 41,840,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748,113 : 18,005,162.50 = 18,005,162.50 : x
  2. Step 2: Convert to fraction form
    7,748,113/18,005,162.50 = 18,005,162.50/x
  3. Step 3: Cross multiply
    7,748,113x = 18,005,162.50 × 18,005,162.50
  4. Step 4: Simplify right side
    7,748,113x = 324,185,876,651,406.25
  5. Step 5: Solve for x
    x = 324,185,876,651,406.25/7,748,113
  6. Step 6: Final answer
    x = 41,840,623.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.