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Finding the Third Proportional to 22,856,416 and 48,812,633

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Solution

The third proportional to 22,856,416 and 48,812,633 is: 104,245,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856,416 : 48,812,633 = 48,812,633 : x
  2. Step 2: Convert to fraction form
    22,856,416/48,812,633 = 48,812,633/x
  3. Step 3: Cross multiply
    22,856,416x = 48,812,633 × 48,812,633
  4. Step 4: Simplify right side
    22,856,416x = 2,382,673,140,392,689
  5. Step 5: Solve for x
    x = 2,382,673,140,392,689/22,856,416
  6. Step 6: Final answer
    x = 104,245,264.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.