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Finding the Third Proportional to 5,126,164 and 7,209,607

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Solution

The third proportional to 5,126,164 and 7,209,607 is: 10,139,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126,164 : 7,209,607 = 7,209,607 : x
  2. Step 2: Convert to fraction form
    5,126,164/7,209,607 = 7,209,607/x
  3. Step 3: Cross multiply
    5,126,164x = 7,209,607 × 7,209,607
  4. Step 4: Simplify right side
    5,126,164x = 51,978,433,094,449
  5. Step 5: Solve for x
    x = 51,978,433,094,449/5,126,164
  6. Step 6: Final answer
    x = 10,139,830.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.