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Finding the Third Proportional to 32,796,002.25 and 75,924,347.63

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Solution

The third proportional to 32,796,002.25 and 75,924,347.63 is: 175,768,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796,002.25 : 75,924,347.63 = 75,924,347.63 : x
  2. Step 2: Convert to fraction form
    32,796,002.25/75,924,347.63 = 75,924,347.63/x
  3. Step 3: Cross multiply
    32,796,002.25x = 75,924,347.63 × 75,924,347.63
  4. Step 4: Simplify right side
    32,796,002.25x = 5,764,506,562,281,843
  5. Step 5: Solve for x
    x = 5,764,506,562,281,843/32,796,002.25
  6. Step 6: Final answer
    x = 175,768,574.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.