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Finding the Third Proportional to 27,715,419,816 and 64,671,547,812

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Solution

The third proportional to 27,715,419,816 and 64,671,547,812 is: 150,905,493,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715,419,816 : 64,671,547,812 = 64,671,547,812 : x
  2. Step 2: Convert to fraction form
    27,715,419,816/64,671,547,812 = 64,671,547,812/x
  3. Step 3: Cross multiply
    27,715,419,816x = 64,671,547,812 × 64,671,547,812
  4. Step 4: Simplify right side
    27,715,419,816x = 4,182,409,096,399,802,073,088
  5. Step 5: Solve for x
    x = 4,182,409,096,399,802,073,088/27,715,419,816
  6. Step 6: Final answer
    x = 150,905,493,193.55

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.