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Finding the Third Proportional to 8,020,311 and 17,319,055.50

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Solution

The third proportional to 8,020,311 and 17,319,055.50 is: 37,398,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,311 : 17,319,055.50 = 17,319,055.50 : x
  2. Step 2: Convert to fraction form
    8,020,311/17,319,055.50 = 17,319,055.50/x
  3. Step 3: Cross multiply
    8,020,311x = 17,319,055.50 × 17,319,055.50
  4. Step 4: Simplify right side
    8,020,311x = 299,949,683,412,080.25
  5. Step 5: Solve for x
    x = 299,949,683,412,080.25/8,020,311
  6. Step 6: Final answer
    x = 37,398,759.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.