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Finding the Third Proportional to 5,386,609.50 and 7,558,480.50

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Solution

The third proportional to 5,386,609.50 and 7,558,480.50 is: 10,606,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,609.50 : 7,558,480.50 = 7,558,480.50 : x
  2. Step 2: Convert to fraction form
    5,386,609.50/7,558,480.50 = 7,558,480.50/x
  3. Step 3: Cross multiply
    5,386,609.50x = 7,558,480.50 × 7,558,480.50
  4. Step 4: Simplify right side
    5,386,609.50x = 57,130,627,468,880.25
  5. Step 5: Solve for x
    x = 57,130,627,468,880.25/5,386,609.50
  6. Step 6: Final answer
    x = 10,606,045.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.