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Finding the Third Proportional to 4,978,491.93 and 7,688,864.09

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Solution

The third proportional to 4,978,491.93 and 7,688,864.09 is: 11,874,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978,491.93 : 7,688,864.09 = 7,688,864.09 : x
  2. Step 2: Convert to fraction form
    4,978,491.93/7,688,864.09 = 7,688,864.09/x
  3. Step 3: Cross multiply
    4,978,491.93x = 7,688,864.09 × 7,688,864.09
  4. Step 4: Simplify right side
    4,978,491.93x = 59,118,631,022,122.23
  5. Step 5: Solve for x
    x = 59,118,631,022,122.23/4,978,491.93
  6. Step 6: Final answer
    x = 11,874,807.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.