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Finding the Third Proportional to 7,596,546 and 17,570,908.50

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Solution

The third proportional to 7,596,546 and 17,570,908.50 is: 40,641,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596,546 : 17,570,908.50 = 17,570,908.50 : x
  2. Step 2: Convert to fraction form
    7,596,546/17,570,908.50 = 17,570,908.50/x
  3. Step 3: Cross multiply
    7,596,546x = 17,570,908.50 × 17,570,908.50
  4. Step 4: Simplify right side
    7,596,546x = 308,736,825,515,372.25
  5. Step 5: Solve for x
    x = 308,736,825,515,372.25/7,596,546
  6. Step 6: Final answer
    x = 40,641,737.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.