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Finding the Third Proportional to 2,031,010,490 and 4,422,585,195

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Solution

The third proportional to 2,031,010,490 and 4,422,585,195 is: 9,630,309,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,010,490 : 4,422,585,195 = 4,422,585,195 : x
  2. Step 2: Convert to fraction form
    2,031,010,490/4,422,585,195 = 4,422,585,195/x
  3. Step 3: Cross multiply
    2,031,010,490x = 4,422,585,195 × 4,422,585,195
  4. Step 4: Simplify right side
    2,031,010,490x = 19,559,259,807,033,188,352
  5. Step 5: Solve for x
    x = 19,559,259,807,033,188,352/2,031,010,490
  6. Step 6: Final answer
    x = 9,630,309,593.84

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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.