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Finding the Third Proportional to 1,095,745,176 and 2,346,638,400

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Solution

The third proportional to 1,095,745,176 and 2,346,638,400 is: 5,025,540,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,745,176 : 2,346,638,400 = 2,346,638,400 : x
  2. Step 2: Convert to fraction form
    1,095,745,176/2,346,638,400 = 2,346,638,400/x
  3. Step 3: Cross multiply
    1,095,745,176x = 2,346,638,400 × 2,346,638,400
  4. Step 4: Simplify right side
    1,095,745,176x = 5,506,711,780,354,560,000
  5. Step 5: Solve for x
    x = 5,506,711,780,354,560,000/1,095,745,176
  6. Step 6: Final answer
    x = 5,025,540,518.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.