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Finding the Third Proportional to 35,335,919 and 76,345,390

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Solution

The third proportional to 35,335,919 and 76,345,390 is: 164,948,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,335,919 : 76,345,390 = 76,345,390 : x
  2. Step 2: Convert to fraction form
    35,335,919/76,345,390 = 76,345,390/x
  3. Step 3: Cross multiply
    35,335,919x = 76,345,390 × 76,345,390
  4. Step 4: Simplify right side
    35,335,919x = 5,828,618,574,252,100
  5. Step 5: Solve for x
    x = 5,828,618,574,252,100/35,335,919
  6. Step 6: Final answer
    x = 164,948,832.21

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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.