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Finding the Third Proportional to 297,101,071,512 and 643,536,124,875

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Solution

The third proportional to 297,101,071,512 and 643,536,124,875 is: 1,393,932,179,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,101,071,512 : 643,536,124,875 = 643,536,124,875 : x
  2. Step 2: Convert to fraction form
    297,101,071,512/643,536,124,875 = 643,536,124,875/x
  3. Step 3: Cross multiply
    297,101,071,512x = 643,536,124,875 × 643,536,124,875
  4. Step 4: Simplify right side
    297,101,071,512x = 414,138,744,019,131,603,877,888
  5. Step 5: Solve for x
    x = 414,138,744,019,131,603,877,888/297,101,071,512
  6. Step 6: Final answer
    x = 1,393,932,179,078.00

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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.