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Finding the Third Proportional to 7,473,988,958 and 10,511,665,398

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Solution

The third proportional to 7,473,988,958 and 10,511,665,398 is: 14,783,954,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473,988,958 : 10,511,665,398 = 10,511,665,398 : x
  2. Step 2: Convert to fraction form
    7,473,988,958/10,511,665,398 = 10,511,665,398/x
  3. Step 3: Cross multiply
    7,473,988,958x = 10,511,665,398 × 10,511,665,398
  4. Step 4: Simplify right side
    7,473,988,958x = 110,495,109,439,510,495,232
  5. Step 5: Solve for x
    x = 110,495,109,439,510,495,232/7,473,988,958
  6. Step 6: Final answer
    x = 14,783,954,065.28

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Why These Related Problems?

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