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Finding the Third Proportional to 4,735,593.49 and 6,926,243.24

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Solution

The third proportional to 4,735,593.49 and 6,926,243.24 is: 10,130,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735,593.49 : 6,926,243.24 = 6,926,243.24 : x
  2. Step 2: Convert to fraction form
    4,735,593.49/6,926,243.24 = 6,926,243.24/x
  3. Step 3: Cross multiply
    4,735,593.49x = 6,926,243.24 × 6,926,243.24
  4. Step 4: Simplify right side
    4,735,593.49x = 47,972,845,395,836.04
  5. Step 5: Solve for x
    x = 47,972,845,395,836.04/4,735,593.49
  6. Step 6: Final answer
    x = 10,130,270.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.