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Finding the Third Proportional to 5,609,835 and 12,283,740

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Solution

The third proportional to 5,609,835 and 12,283,740 is: 26,897,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609,835 : 12,283,740 = 12,283,740 : x
  2. Step 2: Convert to fraction form
    5,609,835/12,283,740 = 12,283,740/x
  3. Step 3: Cross multiply
    5,609,835x = 12,283,740 × 12,283,740
  4. Step 4: Simplify right side
    5,609,835x = 150,890,268,387,600
  5. Step 5: Solve for x
    x = 150,890,268,387,600/5,609,835
  6. Step 6: Final answer
    x = 26,897,452.13

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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.