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Finding the Third Proportional to 78,592,889,793 and 170,956,067,130

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Solution

The third proportional to 78,592,889,793 and 170,956,067,130 is: 371,865,406,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592,889,793 : 170,956,067,130 = 170,956,067,130 : x
  2. Step 2: Convert to fraction form
    78,592,889,793/170,956,067,130 = 170,956,067,130/x
  3. Step 3: Cross multiply
    78,592,889,793x = 170,956,067,130 × 170,956,067,130
  4. Step 4: Simplify right side
    78,592,889,793x = 29,225,976,888,557,064,683,520
  5. Step 5: Solve for x
    x = 29,225,976,888,557,064,683,520/78,592,889,793
  6. Step 6: Final answer
    x = 371,865,406,215.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.