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Finding the Third Proportional to 14,740,874 and 31,896,304

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Solution

The third proportional to 14,740,874 and 31,896,304 is: 69,017,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,740,874 : 31,896,304 = 31,896,304 : x
  2. Step 2: Convert to fraction form
    14,740,874/31,896,304 = 31,896,304/x
  3. Step 3: Cross multiply
    14,740,874x = 31,896,304 × 31,896,304
  4. Step 4: Simplify right side
    14,740,874x = 1,017,374,208,860,416
  5. Step 5: Solve for x
    x = 1,017,374,208,860,416/14,740,874
  6. Step 6: Final answer
    x = 69,017,224.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.