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Finding the Third Proportional to 7,635,038 and 16,465,608

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Solution

The third proportional to 7,635,038 and 16,465,608 is: 35,509,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635,038 : 16,465,608 = 16,465,608 : x
  2. Step 2: Convert to fraction form
    7,635,038/16,465,608 = 16,465,608/x
  3. Step 3: Cross multiply
    7,635,038x = 16,465,608 × 16,465,608
  4. Step 4: Simplify right side
    7,635,038x = 271,116,246,809,664
  5. Step 5: Solve for x
    x = 271,116,246,809,664/7,635,038
  6. Step 6: Final answer
    x = 35,509,482.31

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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.