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Finding the Third Proportional to 42,169,764 and 65,165,890

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Solution

The third proportional to 42,169,764 and 65,165,890 is: 100,702,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,169,764 : 65,165,890 = 65,165,890 : x
  2. Step 2: Convert to fraction form
    42,169,764/65,165,890 = 65,165,890/x
  3. Step 3: Cross multiply
    42,169,764x = 65,165,890 × 65,165,890
  4. Step 4: Simplify right side
    42,169,764x = 4,246,593,219,492,100
  5. Step 5: Solve for x
    x = 4,246,593,219,492,100/42,169,764
  6. Step 6: Final answer
    x = 100,702,323.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.