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Finding the Third Proportional to 2,250,036,144 and 4,935,740,184

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Solution

The third proportional to 2,250,036,144 and 4,935,740,184 is: 10,827,173,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250,036,144 : 4,935,740,184 = 4,935,740,184 : x
  2. Step 2: Convert to fraction form
    2,250,036,144/4,935,740,184 = 4,935,740,184/x
  3. Step 3: Cross multiply
    2,250,036,144x = 4,935,740,184 × 4,935,740,184
  4. Step 4: Simplify right side
    2,250,036,144x = 24,361,531,163,952,353,280
  5. Step 5: Solve for x
    x = 24,361,531,163,952,353,280/2,250,036,144
  6. Step 6: Final answer
    x = 10,827,173,256.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.