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Finding the Third Proportional to 10,286,407.69 and 22,346,065.69

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Solution

The third proportional to 10,286,407.69 and 22,346,065.69 is: 48,544,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286,407.69 : 22,346,065.69 = 22,346,065.69 : x
  2. Step 2: Convert to fraction form
    10,286,407.69/22,346,065.69 = 22,346,065.69/x
  3. Step 3: Cross multiply
    10,286,407.69x = 22,346,065.69 × 22,346,065.69
  4. Step 4: Simplify right side
    10,286,407.69x = 499,346,651,710,064.88
  5. Step 5: Solve for x
    x = 499,346,651,710,064.88/10,286,407.69
  6. Step 6: Final answer
    x = 48,544,318.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.