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Finding the Third Proportional to 38,503,710,864 and 82,306,316,601

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Solution

The third proportional to 38,503,710,864 and 82,306,316,601 is: 175,939,658,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503,710,864 : 82,306,316,601 = 82,306,316,601 : x
  2. Step 2: Convert to fraction form
    38,503,710,864/82,306,316,601 = 82,306,316,601/x
  3. Step 3: Cross multiply
    38,503,710,864x = 82,306,316,601 × 82,306,316,601
  4. Step 4: Simplify right side
    38,503,710,864x = 6,774,329,752,424,048,230,400
  5. Step 5: Solve for x
    x = 6,774,329,752,424,048,230,400/38,503,710,864
  6. Step 6: Final answer
    x = 175,939,658,812.42

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