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Finding the Third Proportional to 5,146,502 and 7,570,029

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Solution

The third proportional to 5,146,502 and 7,570,029 is: 11,134,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,502 : 7,570,029 = 7,570,029 : x
  2. Step 2: Convert to fraction form
    5,146,502/7,570,029 = 7,570,029/x
  3. Step 3: Cross multiply
    5,146,502x = 7,570,029 × 7,570,029
  4. Step 4: Simplify right side
    5,146,502x = 57,305,339,060,841
  5. Step 5: Solve for x
    x = 57,305,339,060,841/5,146,502
  6. Step 6: Final answer
    x = 11,134,813.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.