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Finding the Third Proportional to 6,985,527,449 and 15,235,361,848

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Solution

The third proportional to 6,985,527,449 and 15,235,361,848 is: 33,228,163,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985,527,449 : 15,235,361,848 = 15,235,361,848 : x
  2. Step 2: Convert to fraction form
    6,985,527,449/15,235,361,848 = 15,235,361,848/x
  3. Step 3: Cross multiply
    6,985,527,449x = 15,235,361,848 × 15,235,361,848
  4. Step 4: Simplify right side
    6,985,527,449x = 232,116,250,639,493,988,352
  5. Step 5: Solve for x
    x = 232,116,250,639,493,988,352/6,985,527,449
  6. Step 6: Final answer
    x = 33,228,163,847.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.