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Finding the Third Proportional to 8,953,762 and 19,185,097

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Solution

The third proportional to 8,953,762 and 19,185,097 is: 41,107,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953,762 : 19,185,097 = 19,185,097 : x
  2. Step 2: Convert to fraction form
    8,953,762/19,185,097 = 19,185,097/x
  3. Step 3: Cross multiply
    8,953,762x = 19,185,097 × 19,185,097
  4. Step 4: Simplify right side
    8,953,762x = 368,067,946,899,409
  5. Step 5: Solve for x
    x = 368,067,946,899,409/8,953,762
  6. Step 6: Final answer
    x = 41,107,631.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.