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Finding the Third Proportional to 10,181,176 and 14,241,454

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Solution

The third proportional to 10,181,176 and 14,241,454 is: 19,920,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,176 : 14,241,454 = 14,241,454 : x
  2. Step 2: Convert to fraction form
    10,181,176/14,241,454 = 14,241,454/x
  3. Step 3: Cross multiply
    10,181,176x = 14,241,454 × 14,241,454
  4. Step 4: Simplify right side
    10,181,176x = 202,819,012,034,116
  5. Step 5: Solve for x
    x = 202,819,012,034,116/10,181,176
  6. Step 6: Final answer
    x = 19,920,980.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.