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Finding the Third Proportional to 7,473,988,960 and 10,511,665,401

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Solution

The third proportional to 7,473,988,960 and 10,511,665,401 is: 14,783,954,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473,988,960 : 10,511,665,401 = 10,511,665,401 : x
  2. Step 2: Convert to fraction form
    7,473,988,960/10,511,665,401 = 10,511,665,401/x
  3. Step 3: Cross multiply
    7,473,988,960x = 10,511,665,401 × 10,511,665,401
  4. Step 4: Simplify right side
    7,473,988,960x = 110,495,109,502,580,490,240
  5. Step 5: Solve for x
    x = 110,495,109,502,580,490,240/7,473,988,960
  6. Step 6: Final answer
    x = 14,783,954,069.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.