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Finding the Third Proportional to 8,395,002 and 17,798,869.13

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Solution

The third proportional to 8,395,002 and 17,798,869.13 is: 37,736,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395,002 : 17,798,869.13 = 17,798,869.13 : x
  2. Step 2: Convert to fraction form
    8,395,002/17,798,869.13 = 17,798,869.13/x
  3. Step 3: Cross multiply
    8,395,002x = 17,798,869.13 × 17,798,869.13
  4. Step 4: Simplify right side
    8,395,002x = 316,799,742,128,878.25
  5. Step 5: Solve for x
    x = 316,799,742,128,878.25/8,395,002
  6. Step 6: Final answer
    x = 37,736,708.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.