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Finding the Third Proportional to 2,162,225,772 and 4,720,788,423

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Solution

The third proportional to 2,162,225,772 and 4,720,788,423 is: 10,306,899,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162,225,772 : 4,720,788,423 = 4,720,788,423 : x
  2. Step 2: Convert to fraction form
    2,162,225,772/4,720,788,423 = 4,720,788,423/x
  3. Step 3: Cross multiply
    2,162,225,772x = 4,720,788,423 × 4,720,788,423
  4. Step 4: Simplify right side
    2,162,225,772x = 22,285,843,334,730,825,728
  5. Step 5: Solve for x
    x = 22,285,843,334,730,825,728/2,162,225,772
  6. Step 6: Final answer
    x = 10,306,899,317.97

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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.