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Finding the Third Proportional to 9,894,390 and 15,135,842

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Solution

The third proportional to 9,894,390 and 15,135,842 is: 23,153,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894,390 : 15,135,842 = 15,135,842 : x
  2. Step 2: Convert to fraction form
    9,894,390/15,135,842 = 15,135,842/x
  3. Step 3: Cross multiply
    9,894,390x = 15,135,842 × 15,135,842
  4. Step 4: Simplify right side
    9,894,390x = 229,093,713,048,964
  5. Step 5: Solve for x
    x = 229,093,713,048,964/9,894,390
  6. Step 6: Final answer
    x = 23,153,899.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.