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Finding the Third Proportional to 4,837,122 and 6,992,419.50

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Solution

The third proportional to 4,837,122 and 6,992,419.50 is: 10,108,062.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837,122 : 6,992,419.50 = 6,992,419.50 : x
  2. Step 2: Convert to fraction form
    4,837,122/6,992,419.50 = 6,992,419.50/x
  3. Step 3: Cross multiply
    4,837,122x = 6,992,419.50 × 6,992,419.50
  4. Step 4: Simplify right side
    4,837,122x = 48,893,930,463,980.25
  5. Step 5: Solve for x
    x = 48,893,930,463,980.25/4,837,122
  6. Step 6: Final answer
    x = 10,108,062.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.