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Finding the Third Proportional to 7,473,988,982 and 10,511,665,441

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Solution

The third proportional to 7,473,988,982 and 10,511,665,441 is: 14,783,954,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473,988,982 : 10,511,665,441 = 10,511,665,441 : x
  2. Step 2: Convert to fraction form
    7,473,988,982/10,511,665,441 = 10,511,665,441/x
  3. Step 3: Cross multiply
    7,473,988,982x = 10,511,665,441 × 10,511,665,441
  4. Step 4: Simplify right side
    7,473,988,982x = 110,495,110,343,513,718,784
  5. Step 5: Solve for x
    x = 110,495,110,343,513,718,784/7,473,988,982
  6. Step 6: Final answer
    x = 14,783,954,138.76

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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.