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Finding the Third Proportional to 34,813,681,378,647 and 74,517,857,683,152

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Solution

The third proportional to 34,813,681,378,647 and 74,517,857,683,152 is: 159,503,703,538,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,813,681,378,647 : 74,517,857,683,152 = 74,517,857,683,152 : x
  2. Step 2: Convert to fraction form
    34,813,681,378,647/74,517,857,683,152 = 74,517,857,683,152/x
  3. Step 3: Cross multiply
    34,813,681,378,647x = 74,517,857,683,152 × 74,517,857,683,152
  4. Step 4: Simplify right side
    34,813,681,378,647x = 5,552,911,113,686,495,461,615,075,328
  5. Step 5: Solve for x
    x = 5,552,911,113,686,495,461,615,075,328/34,813,681,378,647
  6. Step 6: Final answer
    x = 159,503,703,538,011.28

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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.