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Finding the Third Proportional to 17,605,728 and 38,570,688

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Solution

The third proportional to 17,605,728 and 38,570,688 is: 84,500,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605,728 : 38,570,688 = 38,570,688 : x
  2. Step 2: Convert to fraction form
    17,605,728/38,570,688 = 38,570,688/x
  3. Step 3: Cross multiply
    17,605,728x = 38,570,688 × 38,570,688
  4. Step 4: Simplify right side
    17,605,728x = 1,487,697,972,793,344
  5. Step 5: Solve for x
    x = 1,487,697,972,793,344/17,605,728
  6. Step 6: Final answer
    x = 84,500,792.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.