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Finding the Third Proportional to 974,359,690,056 and 2,028,905,061,030

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Solution

The third proportional to 974,359,690,056 and 2,028,905,061,030 is: 4,224,780,426,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,359,690,056 : 2,028,905,061,030 = 2,028,905,061,030 : x
  2. Step 2: Convert to fraction form
    974,359,690,056/2,028,905,061,030 = 2,028,905,061,030/x
  3. Step 3: Cross multiply
    974,359,690,056x = 2,028,905,061,030 × 2,028,905,061,030
  4. Step 4: Simplify right side
    974,359,690,056x = 4,116,455,746,673,147,780,268,032
  5. Step 5: Solve for x
    x = 4,116,455,746,673,147,780,268,032/974,359,690,056
  6. Step 6: Final answer
    x = 4,224,780,426,247.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.