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Finding the Third Proportional to 10,111,765 and 14,307,837.50

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Solution

The third proportional to 10,111,765 and 14,307,837.50 is: 20,245,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111,765 : 14,307,837.50 = 14,307,837.50 : x
  2. Step 2: Convert to fraction form
    10,111,765/14,307,837.50 = 14,307,837.50/x
  3. Step 3: Cross multiply
    10,111,765x = 14,307,837.50 × 14,307,837.50
  4. Step 4: Simplify right side
    10,111,765x = 204,714,213,926,406.25
  5. Step 5: Solve for x
    x = 204,714,213,926,406.25/10,111,765
  6. Step 6: Final answer
    x = 20,245,151.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.