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Finding the Third Proportional to 31,408,698 and 46,925,508

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Solution

The third proportional to 31,408,698 and 46,925,508 is: 70,108,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408,698 : 46,925,508 = 46,925,508 : x
  2. Step 2: Convert to fraction form
    31,408,698/46,925,508 = 46,925,508/x
  3. Step 3: Cross multiply
    31,408,698x = 46,925,508 × 46,925,508
  4. Step 4: Simplify right side
    31,408,698x = 2,202,003,301,058,064
  5. Step 5: Solve for x
    x = 2,202,003,301,058,064/31,408,698
  6. Step 6: Final answer
    x = 70,108,073.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.