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Finding the Third Proportional to 10,780,536 and 16,154,196

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Solution

The third proportional to 10,780,536 and 16,154,196 is: 24,206,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780,536 : 16,154,196 = 16,154,196 : x
  2. Step 2: Convert to fraction form
    10,780,536/16,154,196 = 16,154,196/x
  3. Step 3: Cross multiply
    10,780,536x = 16,154,196 × 16,154,196
  4. Step 4: Simplify right side
    10,780,536x = 260,958,048,406,416
  5. Step 5: Solve for x
    x = 260,958,048,406,416/10,780,536
  6. Step 6: Final answer
    x = 24,206,407.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.