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Finding the Third Proportional to 9,700,401.38 and 13,487,477.06

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Solution

The third proportional to 9,700,401.38 and 13,487,477.06 is: 18,753,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,401.38 : 13,487,477.06 = 13,487,477.06 : x
  2. Step 2: Convert to fraction form
    9,700,401.38/13,487,477.06 = 13,487,477.06/x
  3. Step 3: Cross multiply
    9,700,401.38x = 13,487,477.06 × 13,487,477.06
  4. Step 4: Simplify right side
    9,700,401.38x = 181,912,037,511,463.62
  5. Step 5: Solve for x
    x = 181,912,037,511,463.62/9,700,401.38
  6. Step 6: Final answer
    x = 18,753,042.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.