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Finding the Third Proportional to 9,756,980 and 14,285,548

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Solution

The third proportional to 9,756,980 and 14,285,548 is: 20,915,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756,980 : 14,285,548 = 14,285,548 : x
  2. Step 2: Convert to fraction form
    9,756,980/14,285,548 = 14,285,548/x
  3. Step 3: Cross multiply
    9,756,980x = 14,285,548 × 14,285,548
  4. Step 4: Simplify right side
    9,756,980x = 204,076,881,660,304
  5. Step 5: Solve for x
    x = 204,076,881,660,304/9,756,980
  6. Step 6: Final answer
    x = 20,915,988.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.