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Finding the Third Proportional to 51,772,910 and 112,346,200

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Solution

The third proportional to 51,772,910 and 112,346,200 is: 243,789,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772,910 : 112,346,200 = 112,346,200 : x
  2. Step 2: Convert to fraction form
    51,772,910/112,346,200 = 112,346,200/x
  3. Step 3: Cross multiply
    51,772,910x = 112,346,200 × 112,346,200
  4. Step 4: Simplify right side
    51,772,910x = 12,621,668,654,440,000
  5. Step 5: Solve for x
    x = 12,621,668,654,440,000/51,772,910
  6. Step 6: Final answer
    x = 243,789,052.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.