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Finding the Third Proportional to 4,155,635,182 and 9,142,382,840

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Solution

The third proportional to 4,155,635,182 and 9,142,382,840 is: 20,113,210,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155,635,182 : 9,142,382,840 = 9,142,382,840 : x
  2. Step 2: Convert to fraction form
    4,155,635,182/9,142,382,840 = 9,142,382,840/x
  3. Step 3: Cross multiply
    4,155,635,182x = 9,142,382,840 × 9,142,382,840
  4. Step 4: Simplify right side
    4,155,635,182x = 83,583,163,993,126,469,632
  5. Step 5: Solve for x
    x = 83,583,163,993,126,469,632/4,155,635,182
  6. Step 6: Final answer
    x = 20,113,210,215.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.