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Finding the Third Proportional to 2,073,445,306 and 4,569,524,806

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Solution

The third proportional to 2,073,445,306 and 4,569,524,806 is: 10,070,464,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,445,306 : 4,569,524,806 = 4,569,524,806 : x
  2. Step 2: Convert to fraction form
    2,073,445,306/4,569,524,806 = 4,569,524,806/x
  3. Step 3: Cross multiply
    2,073,445,306x = 4,569,524,806 × 4,569,524,806
  4. Step 4: Simplify right side
    2,073,445,306x = 20,880,556,952,649,338,880
  5. Step 5: Solve for x
    x = 20,880,556,952,649,338,880/2,073,445,306
  6. Step 6: Final answer
    x = 10,070,464,309.92

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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.