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Finding the Third Proportional to 4,760,037 and 10,464,853.50

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Solution

The third proportional to 4,760,037 and 10,464,853.50 is: 23,006,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760,037 : 10,464,853.50 = 10,464,853.50 : x
  2. Step 2: Convert to fraction form
    4,760,037/10,464,853.50 = 10,464,853.50/x
  3. Step 3: Cross multiply
    4,760,037x = 10,464,853.50 × 10,464,853.50
  4. Step 4: Simplify right side
    4,760,037x = 109,513,158,776,462.25
  5. Step 5: Solve for x
    x = 109,513,158,776,462.25/4,760,037
  6. Step 6: Final answer
    x = 23,006,787.30

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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.