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Finding the Third Proportional to 2,502,023.87 and 5,462,830.79

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Solution

The third proportional to 2,502,023.87 and 5,462,830.79 is: 11,927,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502,023.87 : 5,462,830.79 = 5,462,830.79 : x
  2. Step 2: Convert to fraction form
    2,502,023.87/5,462,830.79 = 5,462,830.79/x
  3. Step 3: Cross multiply
    2,502,023.87x = 5,462,830.79 × 5,462,830.79
  4. Step 4: Simplify right side
    2,502,023.87x = 29,842,520,272,605.95
  5. Step 5: Solve for x
    x = 29,842,520,272,605.95/2,502,023.87
  6. Step 6: Final answer
    x = 11,927,352.34

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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.