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Finding the Third Proportional to 306,087,950,304 and 663,108,831,354

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Solution

The third proportional to 306,087,950,304 and 663,108,831,354 is: 1,436,558,746,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,087,950,304 : 663,108,831,354 = 663,108,831,354 : x
  2. Step 2: Convert to fraction form
    306,087,950,304/663,108,831,354 = 663,108,831,354/x
  3. Step 3: Cross multiply
    306,087,950,304x = 663,108,831,354 × 663,108,831,354
  4. Step 4: Simplify right side
    306,087,950,304x = 439,713,322,219,667,586,023,424
  5. Step 5: Solve for x
    x = 439,713,322,219,667,586,023,424/306,087,950,304
  6. Step 6: Final answer
    x = 1,436,558,746,539.85

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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.