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Finding the Third Proportional to 13,970,286 and 30,537,702

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Solution

The third proportional to 13,970,286 and 30,537,702 is: 66,752,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970,286 : 30,537,702 = 30,537,702 : x
  2. Step 2: Convert to fraction form
    13,970,286/30,537,702 = 30,537,702/x
  3. Step 3: Cross multiply
    13,970,286x = 30,537,702 × 30,537,702
  4. Step 4: Simplify right side
    13,970,286x = 932,551,243,440,804
  5. Step 5: Solve for x
    x = 932,551,243,440,804/13,970,286
  6. Step 6: Final answer
    x = 66,752,480.47

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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.