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Finding the Third Proportional to 65,435,711 and 141,776,737

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Solution

The third proportional to 65,435,711 and 141,776,737 is: 307,181,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,435,711 : 141,776,737 = 141,776,737 : x
  2. Step 2: Convert to fraction form
    65,435,711/141,776,737 = 141,776,737/x
  3. Step 3: Cross multiply
    65,435,711x = 141,776,737 × 141,776,737
  4. Step 4: Simplify right side
    65,435,711x = 20,100,643,154,367,168
  5. Step 5: Solve for x
    x = 20,100,643,154,367,168/65,435,711
  6. Step 6: Final answer
    x = 307,181,550.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.