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Finding the Third Proportional to 9,307,821.94 and 20,291,575.50

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Solution

The third proportional to 9,307,821.94 and 20,291,575.50 is: 44,236,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307,821.94 : 20,291,575.50 = 20,291,575.50 : x
  2. Step 2: Convert to fraction form
    9,307,821.94/20,291,575.50 = 20,291,575.50/x
  3. Step 3: Cross multiply
    9,307,821.94x = 20,291,575.50 × 20,291,575.50
  4. Step 4: Simplify right side
    9,307,821.94x = 411,748,036,272,200.25
  5. Step 5: Solve for x
    x = 411,748,036,272,200.25/9,307,821.94
  6. Step 6: Final answer
    x = 44,236,776.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.