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Finding the Third Proportional to 9,762,575.63 and 20,333,192.91

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Solution

The third proportional to 9,762,575.63 and 20,333,192.91 is: 42,349,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762,575.63 : 20,333,192.91 = 20,333,192.91 : x
  2. Step 2: Convert to fraction form
    9,762,575.63/20,333,192.91 = 20,333,192.91/x
  3. Step 3: Cross multiply
    9,762,575.63x = 20,333,192.91 × 20,333,192.91
  4. Step 4: Simplify right side
    9,762,575.63x = 413,438,733,762,775.31
  5. Step 5: Solve for x
    x = 413,438,733,762,775.31/9,762,575.63
  6. Step 6: Final answer
    x = 42,349,350.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.