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Finding the Third Proportional to 17,300,727 and 36,837,661.50

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Solution

The third proportional to 17,300,727 and 36,837,661.50 is: 78,436,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300,727 : 36,837,661.50 = 36,837,661.50 : x
  2. Step 2: Convert to fraction form
    17,300,727/36,837,661.50 = 36,837,661.50/x
  3. Step 3: Cross multiply
    17,300,727x = 36,837,661.50 × 36,837,661.50
  4. Step 4: Simplify right side
    17,300,727x = 1,357,013,304,788,582.25
  5. Step 5: Solve for x
    x = 1,357,013,304,788,582.25/17,300,727
  6. Step 6: Final answer
    x = 78,436,779.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.