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Finding the Third Proportional to 1,659,125,657 and 3,554,902,921

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Solution

The third proportional to 1,659,125,657 and 3,554,902,921 is: 7,616,864,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,125,657 : 3,554,902,921 = 3,554,902,921 : x
  2. Step 2: Convert to fraction form
    1,659,125,657/3,554,902,921 = 3,554,902,921/x
  3. Step 3: Cross multiply
    1,659,125,657x = 3,554,902,921 × 3,554,902,921
  4. Step 4: Simplify right side
    1,659,125,657x = 12,637,334,777,734,332,416
  5. Step 5: Solve for x
    x = 12,637,334,777,734,332,416/1,659,125,657
  6. Step 6: Final answer
    x = 7,616,864,174.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.