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Finding the Third Proportional to 5,425,851,834 and 11,753,312,258.25

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Solution

The third proportional to 5,425,851,834 and 11,753,312,258.25 is: 25,459,661,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425,851,834 : 11,753,312,258.25 = 11,753,312,258.25 : x
  2. Step 2: Convert to fraction form
    5,425,851,834/11,753,312,258.25 = 11,753,312,258.25/x
  3. Step 3: Cross multiply
    5,425,851,834x = 11,753,312,258.25 × 11,753,312,258.25
  4. Step 4: Simplify right side
    5,425,851,834x = 138,140,349,039,929,720,832
  5. Step 5: Solve for x
    x = 138,140,349,039,929,720,832/5,425,851,834
  6. Step 6: Final answer
    x = 25,459,661,130.87

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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.