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Finding the Third Proportional to 6,925,954,926 and 14,832,595,827

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Solution

The third proportional to 6,925,954,926 and 14,832,595,827 is: 31,765,424,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925,954,926 : 14,832,595,827 = 14,832,595,827 : x
  2. Step 2: Convert to fraction form
    6,925,954,926/14,832,595,827 = 14,832,595,827/x
  3. Step 3: Cross multiply
    6,925,954,926x = 14,832,595,827 × 14,832,595,827
  4. Step 4: Simplify right side
    6,925,954,926x = 220,005,898,967,137,812,480
  5. Step 5: Solve for x
    x = 220,005,898,967,137,812,480/6,925,954,926
  6. Step 6: Final answer
    x = 31,765,424,597.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.