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Finding the Third Proportional to 976,398,853.50 and 1,473,678,258.75

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Solution

The third proportional to 976,398,853.50 and 1,473,678,258.75 is: 2,224,221,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,398,853.50 : 1,473,678,258.75 = 1,473,678,258.75 : x
  2. Step 2: Convert to fraction form
    976,398,853.50/1,473,678,258.75 = 1,473,678,258.75/x
  3. Step 3: Cross multiply
    976,398,853.50x = 1,473,678,258.75 × 1,473,678,258.75
  4. Step 4: Simplify right side
    976,398,853.50x = 2,171,727,610,312,431,872
  5. Step 5: Solve for x
    x = 2,171,727,610,312,431,872/976,398,853.50
  6. Step 6: Final answer
    x = 2,224,221,794.74

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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.