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Finding the Third Proportional to 13,532,924 and 31,577,913

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Solution

The third proportional to 13,532,924 and 31,577,913 is: 73,684,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532,924 : 31,577,913 = 31,577,913 : x
  2. Step 2: Convert to fraction form
    13,532,924/31,577,913 = 31,577,913/x
  3. Step 3: Cross multiply
    13,532,924x = 31,577,913 × 31,577,913
  4. Step 4: Simplify right side
    13,532,924x = 997,164,589,435,569
  5. Step 5: Solve for x
    x = 997,164,589,435,569/13,532,924
  6. Step 6: Final answer
    x = 73,684,341.20

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.