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Finding the Third Proportional to 4,099,248 and 6,513,826.50

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Solution

The third proportional to 4,099,248 and 6,513,826.50 is: 10,350,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,248 : 6,513,826.50 = 6,513,826.50 : x
  2. Step 2: Convert to fraction form
    4,099,248/6,513,826.50 = 6,513,826.50/x
  3. Step 3: Cross multiply
    4,099,248x = 6,513,826.50 × 6,513,826.50
  4. Step 4: Simplify right side
    4,099,248x = 42,429,935,672,102.25
  5. Step 5: Solve for x
    x = 42,429,935,672,102.25/4,099,248
  6. Step 6: Final answer
    x = 10,350,663.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.