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Finding the Third Proportional to 55,983,020,566 and 123,377,163,614

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Solution

The third proportional to 55,983,020,566 and 123,377,163,614 is: 271,902,522,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,983,020,566 : 123,377,163,614 = 123,377,163,614 : x
  2. Step 2: Convert to fraction form
    55,983,020,566/123,377,163,614 = 123,377,163,614/x
  3. Step 3: Cross multiply
    55,983,020,566x = 123,377,163,614 × 123,377,163,614
  4. Step 4: Simplify right side
    55,983,020,566x = 15,221,924,501,435,726,168,064
  5. Step 5: Solve for x
    x = 15,221,924,501,435,726,168,064/55,983,020,566
  6. Step 6: Final answer
    x = 271,902,522,363.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.