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Finding the Third Proportional to 1,536,655,617,398 and 3,416,885,498,982

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Solution

The third proportional to 1,536,655,617,398 and 3,416,885,498,982 is: 7,597,737,828,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,655,617,398 : 3,416,885,498,982 = 3,416,885,498,982 : x
  2. Step 2: Convert to fraction form
    1,536,655,617,398/3,416,885,498,982 = 3,416,885,498,982/x
  3. Step 3: Cross multiply
    1,536,655,617,398x = 3,416,885,498,982 × 3,416,885,498,982
  4. Step 4: Simplify right side
    1,536,655,617,398x = 11,675,106,513,153,470,253,498,368
  5. Step 5: Solve for x
    x = 11,675,106,513,153,470,253,498,368/1,536,655,617,398
  6. Step 6: Final answer
    x = 7,597,737,828,156.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.