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Finding the Third Proportional to 4,737,768 and 10,420,032

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Solution

The third proportional to 4,737,768 and 10,420,032 is: 22,917,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737,768 : 10,420,032 = 10,420,032 : x
  2. Step 2: Convert to fraction form
    4,737,768/10,420,032 = 10,420,032/x
  3. Step 3: Cross multiply
    4,737,768x = 10,420,032 × 10,420,032
  4. Step 4: Simplify right side
    4,737,768x = 108,577,066,881,024
  5. Step 5: Solve for x
    x = 108,577,066,881,024/4,737,768
  6. Step 6: Final answer
    x = 22,917,345.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.