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Finding the Third Proportional to 305,459,747,616 and 619,629,301,376

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Solution

The third proportional to 305,459,747,616 and 619,629,301,376 is: 1,256,926,564,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,459,747,616 : 619,629,301,376 = 619,629,301,376 : x
  2. Step 2: Convert to fraction form
    305,459,747,616/619,629,301,376 = 619,629,301,376/x
  3. Step 3: Cross multiply
    305,459,747,616x = 619,629,301,376 × 619,629,301,376
  4. Step 4: Simplify right side
    305,459,747,616x = 383,940,471,123,709,859,463,168
  5. Step 5: Solve for x
    x = 383,940,471,123,709,859,463,168/305,459,747,616
  6. Step 6: Final answer
    x = 1,256,926,564,368.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.