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Finding the Third Proportional to 1,520,207,784 and 2,350,123,020

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Solution

The third proportional to 1,520,207,784 and 2,350,123,020 is: 3,633,107,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,207,784 : 2,350,123,020 = 2,350,123,020 : x
  2. Step 2: Convert to fraction form
    1,520,207,784/2,350,123,020 = 2,350,123,020/x
  3. Step 3: Cross multiply
    1,520,207,784x = 2,350,123,020 × 2,350,123,020
  4. Step 4: Simplify right side
    1,520,207,784x = 5,523,078,209,133,920,256
  5. Step 5: Solve for x
    x = 5,523,078,209,133,920,256/1,520,207,784
  6. Step 6: Final answer
    x = 3,633,107,439.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.