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Finding the Third Proportional to 32,900,519.25 and 45,994,604.63

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Solution

The third proportional to 32,900,519.25 and 45,994,604.63 is: 64,300,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,900,519.25 : 45,994,604.63 = 45,994,604.63 : x
  2. Step 2: Convert to fraction form
    32,900,519.25/45,994,604.63 = 45,994,604.63/x
  3. Step 3: Cross multiply
    32,900,519.25x = 45,994,604.63 × 45,994,604.63
  4. Step 4: Simplify right side
    32,900,519.25x = 2,115,503,654,610,071.50
  5. Step 5: Solve for x
    x = 2,115,503,654,610,071.50/32,900,519.25
  6. Step 6: Final answer
    x = 64,300,008.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.