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Finding the Third Proportional to 5,769,655.50 and 9,136,101.75

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Solution

The third proportional to 5,769,655.50 and 9,136,101.75 is: 14,466,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769,655.50 : 9,136,101.75 = 9,136,101.75 : x
  2. Step 2: Convert to fraction form
    5,769,655.50/9,136,101.75 = 9,136,101.75/x
  3. Step 3: Cross multiply
    5,769,655.50x = 9,136,101.75 × 9,136,101.75
  4. Step 4: Simplify right side
    5,769,655.50x = 83,468,355,186,353.06
  5. Step 5: Solve for x
    x = 83,468,355,186,353.06/5,769,655.50
  6. Step 6: Final answer
    x = 14,466,783.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.