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Finding the Third Proportional to 4,935,496 and 7,465,464

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Solution

The third proportional to 4,935,496 and 7,465,464 is: 11,292,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935,496 : 7,465,464 = 7,465,464 : x
  2. Step 2: Convert to fraction form
    4,935,496/7,465,464 = 7,465,464/x
  3. Step 3: Cross multiply
    4,935,496x = 7,465,464 × 7,465,464
  4. Step 4: Simplify right side
    4,935,496x = 55,733,152,735,296
  5. Step 5: Solve for x
    x = 55,733,152,735,296/4,935,496
  6. Step 6: Final answer
    x = 11,292,310.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.