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Finding the Third Proportional to 5,702,565 and 11,809,320

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Solution

The third proportional to 5,702,565 and 11,809,320 is: 24,455,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,565 : 11,809,320 = 11,809,320 : x
  2. Step 2: Convert to fraction form
    5,702,565/11,809,320 = 11,809,320/x
  3. Step 3: Cross multiply
    5,702,565x = 11,809,320 × 11,809,320
  4. Step 4: Simplify right side
    5,702,565x = 139,460,038,862,400
  5. Step 5: Solve for x
    x = 139,460,038,862,400/5,702,565
  6. Step 6: Final answer
    x = 24,455,668.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.