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Finding the Third Proportional to 5,041,398 and 7,565,782.50

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Solution

The third proportional to 5,041,398 and 7,565,782.50 is: 11,354,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041,398 : 7,565,782.50 = 7,565,782.50 : x
  2. Step 2: Convert to fraction form
    5,041,398/7,565,782.50 = 7,565,782.50/x
  3. Step 3: Cross multiply
    5,041,398x = 7,565,782.50 × 7,565,782.50
  4. Step 4: Simplify right side
    5,041,398x = 57,241,064,837,306.25
  5. Step 5: Solve for x
    x = 57,241,064,837,306.25/5,041,398
  6. Step 6: Final answer
    x = 11,354,204.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.