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Finding the Third Proportional to 8,291,748 and 17,941,683.75

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Solution

The third proportional to 8,291,748 and 17,941,683.75 is: 38,822,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291,748 : 17,941,683.75 = 17,941,683.75 : x
  2. Step 2: Convert to fraction form
    8,291,748/17,941,683.75 = 17,941,683.75/x
  3. Step 3: Cross multiply
    8,291,748x = 17,941,683.75 × 17,941,683.75
  4. Step 4: Simplify right side
    8,291,748x = 321,904,015,785,014.06
  5. Step 5: Solve for x
    x = 321,904,015,785,014.06/8,291,748
  6. Step 6: Final answer
    x = 38,822,214.06

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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.