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Finding the Third Proportional to 7,841,880 and 16,986,528

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Solution

The third proportional to 7,841,880 and 16,986,528 is: 36,795,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,880 : 16,986,528 = 16,986,528 : x
  2. Step 2: Convert to fraction form
    7,841,880/16,986,528 = 16,986,528/x
  3. Step 3: Cross multiply
    7,841,880x = 16,986,528 × 16,986,528
  4. Step 4: Simplify right side
    7,841,880x = 288,542,133,494,784
  5. Step 5: Solve for x
    x = 288,542,133,494,784/7,841,880
  6. Step 6: Final answer
    x = 36,795,020.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.