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Finding the Third Proportional to 31,812,606 and 48,643,341

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Solution

The third proportional to 31,812,606 and 48,643,341 is: 74,378,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812,606 : 48,643,341 = 48,643,341 : x
  2. Step 2: Convert to fraction form
    31,812,606/48,643,341 = 48,643,341/x
  3. Step 3: Cross multiply
    31,812,606x = 48,643,341 × 48,643,341
  4. Step 4: Simplify right side
    31,812,606x = 2,366,174,623,642,281
  5. Step 5: Solve for x
    x = 2,366,174,623,642,281/31,812,606
  6. Step 6: Final answer
    x = 74,378,522.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.