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Finding the Third Proportional to 9,353,117 and 20,098,623

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Solution

The third proportional to 9,353,117 and 20,098,623 is: 43,189,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353,117 : 20,098,623 = 20,098,623 : x
  2. Step 2: Convert to fraction form
    9,353,117/20,098,623 = 20,098,623/x
  3. Step 3: Cross multiply
    9,353,117x = 20,098,623 × 20,098,623
  4. Step 4: Simplify right side
    9,353,117x = 403,954,646,496,129
  5. Step 5: Solve for x
    x = 403,954,646,496,129/9,353,117
  6. Step 6: Final answer
    x = 43,189,307.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.