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Finding the Third Proportional to 6,148,617.56 and 9,189,038.81

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Solution

The third proportional to 6,148,617.56 and 9,189,038.81 is: 13,732,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148,617.56 : 9,189,038.81 = 9,189,038.81 : x
  2. Step 2: Convert to fraction form
    6,148,617.56/9,189,038.81 = 9,189,038.81/x
  3. Step 3: Cross multiply
    6,148,617.56x = 9,189,038.81 × 9,189,038.81
  4. Step 4: Simplify right side
    6,148,617.56x = 84,438,434,297,631.41
  5. Step 5: Solve for x
    x = 84,438,434,297,631.41/6,148,617.56
  6. Step 6: Final answer
    x = 13,732,913.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.