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Finding the Third Proportional to 6,301,264 and 13,742,840

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Solution

The third proportional to 6,301,264 and 13,742,840 is: 29,972,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,264 : 13,742,840 = 13,742,840 : x
  2. Step 2: Convert to fraction form
    6,301,264/13,742,840 = 13,742,840/x
  3. Step 3: Cross multiply
    6,301,264x = 13,742,840 × 13,742,840
  4. Step 4: Simplify right side
    6,301,264x = 188,865,651,265,600
  5. Step 5: Solve for x
    x = 188,865,651,265,600/6,301,264
  6. Step 6: Final answer
    x = 29,972,661.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.