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Finding the Third Proportional to 34,813,681,378,644 and 74,517,857,683,146

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Solution

The third proportional to 34,813,681,378,644 and 74,517,857,683,146 is: 159,503,703,537,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,813,681,378,644 : 74,517,857,683,146 = 74,517,857,683,146 : x
  2. Step 2: Convert to fraction form
    34,813,681,378,644/74,517,857,683,146 = 74,517,857,683,146/x
  3. Step 3: Cross multiply
    34,813,681,378,644x = 74,517,857,683,146 × 74,517,857,683,146
  4. Step 4: Simplify right side
    34,813,681,378,644x = 5,552,911,113,685,601,558,661,693,440
  5. Step 5: Solve for x
    x = 5,552,911,113,685,601,558,661,693,440/34,813,681,378,644
  6. Step 6: Final answer
    x = 159,503,703,537,999.38

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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.