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Finding the Third Proportional to 5,778,032 and 12,302,560

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Solution

The third proportional to 5,778,032 and 12,302,560 is: 26,194,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778,032 : 12,302,560 = 12,302,560 : x
  2. Step 2: Convert to fraction form
    5,778,032/12,302,560 = 12,302,560/x
  3. Step 3: Cross multiply
    5,778,032x = 12,302,560 × 12,302,560
  4. Step 4: Simplify right side
    5,778,032x = 151,352,982,553,600
  5. Step 5: Solve for x
    x = 151,352,982,553,600/5,778,032
  6. Step 6: Final answer
    x = 26,194,555.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.