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Finding the Third Proportional to 32,401,912 and 45,577,352

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Solution

The third proportional to 32,401,912 and 45,577,352 is: 64,110,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401,912 : 45,577,352 = 45,577,352 : x
  2. Step 2: Convert to fraction form
    32,401,912/45,577,352 = 45,577,352/x
  3. Step 3: Cross multiply
    32,401,912x = 45,577,352 × 45,577,352
  4. Step 4: Simplify right side
    32,401,912x = 2,077,295,015,331,904
  5. Step 5: Solve for x
    x = 2,077,295,015,331,904/32,401,912
  6. Step 6: Final answer
    x = 64,110,260.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.