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Finding the Third Proportional to 6,198,128 and 13,425,712

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Solution

The third proportional to 6,198,128 and 13,425,712 is: 29,081,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198,128 : 13,425,712 = 13,425,712 : x
  2. Step 2: Convert to fraction form
    6,198,128/13,425,712 = 13,425,712/x
  3. Step 3: Cross multiply
    6,198,128x = 13,425,712 × 13,425,712
  4. Step 4: Simplify right side
    6,198,128x = 180,249,742,706,944
  5. Step 5: Solve for x
    x = 180,249,742,706,944/6,198,128
  6. Step 6: Final answer
    x = 29,081,319.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.