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Finding the Third Proportional to 7,975,140 and 17,494,288.50

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Solution

The third proportional to 7,975,140 and 17,494,288.50 is: 38,375,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,140 : 17,494,288.50 = 17,494,288.50 : x
  2. Step 2: Convert to fraction form
    7,975,140/17,494,288.50 = 17,494,288.50/x
  3. Step 3: Cross multiply
    7,975,140x = 17,494,288.50 × 17,494,288.50
  4. Step 4: Simplify right side
    7,975,140x = 306,050,130,121,232.25
  5. Step 5: Solve for x
    x = 306,050,130,121,232.25/7,975,140
  6. Step 6: Final answer
    x = 38,375,518.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.