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Finding the Third Proportional to 2,094,564,900 and 4,556,874,243

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Solution

The third proportional to 2,094,564,900 and 4,556,874,243 is: 9,913,802,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,564,900 : 4,556,874,243 = 4,556,874,243 : x
  2. Step 2: Convert to fraction form
    2,094,564,900/4,556,874,243 = 4,556,874,243/x
  3. Step 3: Cross multiply
    2,094,564,900x = 4,556,874,243 × 4,556,874,243
  4. Step 4: Simplify right side
    2,094,564,900x = 20,765,102,866,516,824,064
  5. Step 5: Solve for x
    x = 20,765,102,866,516,824,064/2,094,564,900
  6. Step 6: Final answer
    x = 9,913,802,559.43

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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.