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Finding the Third Proportional to 5,124,125.81 and 7,739,124.75

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Solution

The third proportional to 5,124,125.81 and 7,739,124.75 is: 11,688,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124,125.81 : 7,739,124.75 = 7,739,124.75 : x
  2. Step 2: Convert to fraction form
    5,124,125.81/7,739,124.75 = 7,739,124.75/x
  3. Step 3: Cross multiply
    5,124,125.81x = 7,739,124.75 × 7,739,124.75
  4. Step 4: Simplify right side
    5,124,125.81x = 59,894,051,896,062.56
  5. Step 5: Solve for x
    x = 59,894,051,896,062.56/5,124,125.81
  6. Step 6: Final answer
    x = 11,688,638.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.