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Finding the Third Proportional to 306,087,950,300 and 663,108,831,346

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Solution

The third proportional to 306,087,950,300 and 663,108,831,346 is: 1,436,558,746,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,087,950,300 : 663,108,831,346 = 663,108,831,346 : x
  2. Step 2: Convert to fraction form
    306,087,950,300/663,108,831,346 = 663,108,831,346/x
  3. Step 3: Cross multiply
    306,087,950,300x = 663,108,831,346 × 663,108,831,346
  4. Step 4: Simplify right side
    306,087,950,300x = 439,713,322,209,057,875,951,616
  5. Step 5: Solve for x
    x = 439,713,322,209,057,875,951,616/306,087,950,300
  6. Step 6: Final answer
    x = 1,436,558,746,523.97

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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.