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Finding the Third Proportional to 35,173,641 and 77,503,247

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Solution

The third proportional to 35,173,641 and 77,503,247 is: 170,774,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,173,641 : 77,503,247 = 77,503,247 : x
  2. Step 2: Convert to fraction form
    35,173,641/77,503,247 = 77,503,247/x
  3. Step 3: Cross multiply
    35,173,641x = 77,503,247 × 77,503,247
  4. Step 4: Simplify right side
    35,173,641x = 6,006,753,295,543,009
  5. Step 5: Solve for x
    x = 6,006,753,295,543,009/35,173,641
  6. Step 6: Final answer
    x = 170,774,282.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.