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Finding the Third Proportional to 5,053,308.50 and 7,775,140.50

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Solution

The third proportional to 5,053,308.50 and 7,775,140.50 is: 11,963,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053,308.50 : 7,775,140.50 = 7,775,140.50 : x
  2. Step 2: Convert to fraction form
    5,053,308.50/7,775,140.50 = 7,775,140.50/x
  3. Step 3: Cross multiply
    5,053,308.50x = 7,775,140.50 × 7,775,140.50
  4. Step 4: Simplify right side
    5,053,308.50x = 60,452,809,794,740.25
  5. Step 5: Solve for x
    x = 60,452,809,794,740.25/5,053,308.50
  6. Step 6: Final answer
    x = 11,963,015.87

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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.