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Finding the Third Proportional to 2,077,737,087,764 and 4,468,166,462,654

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Solution

The third proportional to 2,077,737,087,764 and 4,468,166,462,654 is: 9,608,776,613,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,737,087,764 : 4,468,166,462,654 = 4,468,166,462,654 : x
  2. Step 2: Convert to fraction form
    2,077,737,087,764/4,468,166,462,654 = 4,468,166,462,654/x
  3. Step 3: Cross multiply
    2,077,737,087,764x = 4,468,166,462,654 × 4,468,166,462,654
  4. Step 4: Simplify right side
    2,077,737,087,764x = 19,964,511,537,985,961,106,341,888
  5. Step 5: Solve for x
    x = 19,964,511,537,985,961,106,341,888/2,077,737,087,764
  6. Step 6: Final answer
    x = 9,608,776,613,537.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.