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Finding the Third Proportional to 9,865,499,005 and 23,020,293,175

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Solution

The third proportional to 9,865,499,005 and 23,020,293,175 is: 53,715,873,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,499,005 : 23,020,293,175 = 23,020,293,175 : x
  2. Step 2: Convert to fraction form
    9,865,499,005/23,020,293,175 = 23,020,293,175/x
  3. Step 3: Cross multiply
    9,865,499,005x = 23,020,293,175 × 23,020,293,175
  4. Step 4: Simplify right side
    9,865,499,005x = 529,933,897,862,951,600,128
  5. Step 5: Solve for x
    x = 529,933,897,862,951,600,128/9,865,499,005
  6. Step 6: Final answer
    x = 53,715,873,631.37

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.