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Finding the Third Proportional to 14,575,954 and 31,897,700

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Solution

The third proportional to 14,575,954 and 31,897,700 is: 69,804,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575,954 : 31,897,700 = 31,897,700 : x
  2. Step 2: Convert to fraction form
    14,575,954/31,897,700 = 31,897,700/x
  3. Step 3: Cross multiply
    14,575,954x = 31,897,700 × 31,897,700
  4. Step 4: Simplify right side
    14,575,954x = 1,017,463,265,290,000
  5. Step 5: Solve for x
    x = 1,017,463,265,290,000/14,575,954
  6. Step 6: Final answer
    x = 69,804,231.36

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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.