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Finding the Third Proportional to 9,306,345 and 13,969,359

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Solution

The third proportional to 9,306,345 and 13,969,359 is: 20,968,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306,345 : 13,969,359 = 13,969,359 : x
  2. Step 2: Convert to fraction form
    9,306,345/13,969,359 = 13,969,359/x
  3. Step 3: Cross multiply
    9,306,345x = 13,969,359 × 13,969,359
  4. Step 4: Simplify right side
    9,306,345x = 195,142,990,870,881
  5. Step 5: Solve for x
    x = 195,142,990,870,881/9,306,345
  6. Step 6: Final answer
    x = 20,968,811.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.