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Finding the Third Proportional to 5,306,164 and 8,415,603

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Solution

The third proportional to 5,306,164 and 8,415,603 is: 13,347,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,164 : 8,415,603 = 8,415,603 : x
  2. Step 2: Convert to fraction form
    5,306,164/8,415,603 = 8,415,603/x
  3. Step 3: Cross multiply
    5,306,164x = 8,415,603 × 8,415,603
  4. Step 4: Simplify right side
    5,306,164x = 70,822,373,853,609
  5. Step 5: Solve for x
    x = 70,822,373,853,609/5,306,164
  6. Step 6: Final answer
    x = 13,347,189.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.