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Finding the Third Proportional to 6,066,726 and 9,138,537

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Solution

The third proportional to 6,066,726 and 9,138,537 is: 13,765,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066,726 : 9,138,537 = 9,138,537 : x
  2. Step 2: Convert to fraction form
    6,066,726/9,138,537 = 9,138,537/x
  3. Step 3: Cross multiply
    6,066,726x = 9,138,537 × 9,138,537
  4. Step 4: Simplify right side
    6,066,726x = 83,512,858,500,369
  5. Step 5: Solve for x
    x = 83,512,858,500,369/6,066,726
  6. Step 6: Final answer
    x = 13,765,721.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.