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Finding the Third Proportional to 8,935,299 and 19,509,207.75

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Solution

The third proportional to 8,935,299 and 19,509,207.75 is: 42,596,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935,299 : 19,509,207.75 = 19,509,207.75 : x
  2. Step 2: Convert to fraction form
    8,935,299/19,509,207.75 = 19,509,207.75/x
  3. Step 3: Cross multiply
    8,935,299x = 19,509,207.75 × 19,509,207.75
  4. Step 4: Simplify right side
    8,935,299x = 380,609,187,032,660.06
  5. Step 5: Solve for x
    x = 380,609,187,032,660.06/8,935,299
  6. Step 6: Final answer
    x = 42,596,133.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.