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Finding the Third Proportional to 9,519,216 and 14,502,018

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Solution

The third proportional to 9,519,216 and 14,502,018 is: 22,093,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519,216 : 14,502,018 = 14,502,018 : x
  2. Step 2: Convert to fraction form
    9,519,216/14,502,018 = 14,502,018/x
  3. Step 3: Cross multiply
    9,519,216x = 14,502,018 × 14,502,018
  4. Step 4: Simplify right side
    9,519,216x = 210,308,526,072,324
  5. Step 5: Solve for x
    x = 210,308,526,072,324/9,519,216
  6. Step 6: Final answer
    x = 22,093,051.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.