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Finding the Third Proportional to 3,583,700.72 and 7,737,935.06

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Solution

The third proportional to 3,583,700.72 and 7,737,935.06 is: 16,707,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583,700.72 : 7,737,935.06 = 7,737,935.06 : x
  2. Step 2: Convert to fraction form
    3,583,700.72/7,737,935.06 = 7,737,935.06/x
  3. Step 3: Cross multiply
    3,583,700.72x = 7,737,935.06 × 7,737,935.06
  4. Step 4: Simplify right side
    3,583,700.72x = 59,875,639,031,466.88
  5. Step 5: Solve for x
    x = 59,875,639,031,466.88/3,583,700.72
  6. Step 6: Final answer
    x = 16,707,767.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.