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Finding the Third Proportional to 9,154,776 and 13,451,896

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Solution

The third proportional to 9,154,776 and 13,451,896 is: 19,766,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154,776 : 13,451,896 = 13,451,896 : x
  2. Step 2: Convert to fraction form
    9,154,776/13,451,896 = 13,451,896/x
  3. Step 3: Cross multiply
    9,154,776x = 13,451,896 × 13,451,896
  4. Step 4: Simplify right side
    9,154,776x = 180,953,505,994,816
  5. Step 5: Solve for x
    x = 180,953,505,994,816/9,154,776
  6. Step 6: Final answer
    x = 19,766,022.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.