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Finding the Third Proportional to 6,742,980 and 10,724,913

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Solution

The third proportional to 6,742,980 and 10,724,913 is: 17,058,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742,980 : 10,724,913 = 10,724,913 : x
  2. Step 2: Convert to fraction form
    6,742,980/10,724,913 = 10,724,913/x
  3. Step 3: Cross multiply
    6,742,980x = 10,724,913 × 10,724,913
  4. Step 4: Simplify right side
    6,742,980x = 115,023,758,857,569
  5. Step 5: Solve for x
    x = 115,023,758,857,569/6,742,980
  6. Step 6: Final answer
    x = 17,058,297.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.