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Finding the Third Proportional to 612,487,980 and 1,344,018,744

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Solution

The third proportional to 612,487,980 and 1,344,018,744 is: 2,949,260,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,487,980 : 1,344,018,744 = 1,344,018,744 : x
  2. Step 2: Convert to fraction form
    612,487,980/1,344,018,744 = 1,344,018,744/x
  3. Step 3: Cross multiply
    612,487,980x = 1,344,018,744 × 1,344,018,744
  4. Step 4: Simplify right side
    612,487,980x = 1,806,386,384,223,337,472
  5. Step 5: Solve for x
    x = 1,806,386,384,223,337,472/612,487,980
  6. Step 6: Final answer
    x = 2,949,260,137.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.