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Finding the Third Proportional to 35,107,998 and 46,584,567

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Solution

The third proportional to 35,107,998 and 46,584,567 is: 61,812,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,107,998 : 46,584,567 = 46,584,567 : x
  2. Step 2: Convert to fraction form
    35,107,998/46,584,567 = 46,584,567/x
  3. Step 3: Cross multiply
    35,107,998x = 46,584,567 × 46,584,567
  4. Step 4: Simplify right side
    35,107,998x = 2,170,121,882,577,489
  5. Step 5: Solve for x
    x = 2,170,121,882,577,489/35,107,998
  6. Step 6: Final answer
    x = 61,812,749.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.