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Finding the Third Proportional to 306,087,950,302 and 663,108,831,350

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Solution

The third proportional to 306,087,950,302 and 663,108,831,350 is: 1,436,558,746,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,087,950,302 : 663,108,831,350 = 663,108,831,350 : x
  2. Step 2: Convert to fraction form
    306,087,950,302/663,108,831,350 = 663,108,831,350/x
  3. Step 3: Cross multiply
    306,087,950,302x = 663,108,831,350 × 663,108,831,350
  4. Step 4: Simplify right side
    306,087,950,302x = 439,713,322,214,362,764,541,952
  5. Step 5: Solve for x
    x = 439,713,322,214,362,764,541,952/306,087,950,302
  6. Step 6: Final answer
    x = 1,436,558,746,531.91

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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.