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Finding the Third Proportional to 9,770,332 and 13,500,762

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Solution

The third proportional to 9,770,332 and 13,500,762 is: 18,655,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770,332 : 13,500,762 = 13,500,762 : x
  2. Step 2: Convert to fraction form
    9,770,332/13,500,762 = 13,500,762/x
  3. Step 3: Cross multiply
    9,770,332x = 13,500,762 × 13,500,762
  4. Step 4: Simplify right side
    9,770,332x = 182,270,574,580,644
  5. Step 5: Solve for x
    x = 182,270,574,580,644/9,770,332
  6. Step 6: Final answer
    x = 18,655,514.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.