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Finding the Third Proportional to 7,589,938 and 16,391,748

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Solution

The third proportional to 7,589,938 and 16,391,748 is: 35,400,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,938 : 16,391,748 = 16,391,748 : x
  2. Step 2: Convert to fraction form
    7,589,938/16,391,748 = 16,391,748/x
  3. Step 3: Cross multiply
    7,589,938x = 16,391,748 × 16,391,748
  4. Step 4: Simplify right side
    7,589,938x = 268,689,402,495,504
  5. Step 5: Solve for x
    x = 268,689,402,495,504/7,589,938
  6. Step 6: Final answer
    x = 35,400,737.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.