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Finding the Third Proportional to 7,473,988,980 and 10,511,665,438

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Solution

The third proportional to 7,473,988,980 and 10,511,665,438 is: 14,783,954,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473,988,980 : 10,511,665,438 = 10,511,665,438 : x
  2. Step 2: Convert to fraction form
    7,473,988,980/10,511,665,438 = 10,511,665,438/x
  3. Step 3: Cross multiply
    7,473,988,980x = 10,511,665,438 × 10,511,665,438
  4. Step 4: Simplify right side
    7,473,988,980x = 110,495,110,280,443,723,776
  5. Step 5: Solve for x
    x = 110,495,110,280,443,723,776/7,473,988,980
  6. Step 6: Final answer
    x = 14,783,954,134.28

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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.