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Finding the Third Proportional to 10,675,893,323.53 and 22,958,471,878.59

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Solution

The third proportional to 10,675,893,323.53 and 22,958,471,878.59 is: 49,372,114,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,893,323.53 : 22,958,471,878.59 = 22,958,471,878.59 : x
  2. Step 2: Convert to fraction form
    10,675,893,323.53/22,958,471,878.59 = 22,958,471,878.59/x
  3. Step 3: Cross multiply
    10,675,893,323.53x = 22,958,471,878.59 × 22,958,471,878.59
  4. Step 4: Simplify right side
    10,675,893,323.53x = 527,091,431,000,145,526,784
  5. Step 5: Solve for x
    x = 527,091,431,000,145,526,784/10,675,893,323.53
  6. Step 6: Final answer
    x = 49,372,114,822.31

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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.