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Finding the Third Proportional to 976,398,816.38 and 1,473,678,192.94

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Solution

The third proportional to 976,398,816.38 and 1,473,678,192.94 is: 2,224,221,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,398,816.38 : 1,473,678,192.94 = 1,473,678,192.94 : x
  2. Step 2: Convert to fraction form
    976,398,816.38/1,473,678,192.94 = 1,473,678,192.94/x
  3. Step 3: Cross multiply
    976,398,816.38x = 1,473,678,192.94 × 1,473,678,192.94
  4. Step 4: Simplify right side
    976,398,816.38x = 2,171,727,416,339,535,360
  5. Step 5: Solve for x
    x = 2,171,727,416,339,535,360/976,398,816.38
  6. Step 6: Final answer
    x = 2,224,221,680.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.