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Finding the Third Proportional to 2,576,713,417,737 and 5,605,820,801,682

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Solution

The third proportional to 2,576,713,417,737 and 5,605,820,801,682 is: 12,195,856,413,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,713,417,737 : 5,605,820,801,682 = 5,605,820,801,682 : x
  2. Step 2: Convert to fraction form
    2,576,713,417,737/5,605,820,801,682 = 5,605,820,801,682/x
  3. Step 3: Cross multiply
    2,576,713,417,737x = 5,605,820,801,682 × 5,605,820,801,682
  4. Step 4: Simplify right side
    2,576,713,417,737x = 31,425,226,860,570,623,319,474,176
  5. Step 5: Solve for x
    x = 31,425,226,860,570,623,319,474,176/2,576,713,417,737
  6. Step 6: Final answer
    x = 12,195,856,413,155.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.