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Finding the Third Proportional to 77,052,822 and 112,814,865

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Solution

The third proportional to 77,052,822 and 112,814,865 is: 165,174,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052,822 : 112,814,865 = 112,814,865 : x
  2. Step 2: Convert to fraction form
    77,052,822/112,814,865 = 112,814,865/x
  3. Step 3: Cross multiply
    77,052,822x = 112,814,865 × 112,814,865
  4. Step 4: Simplify right side
    77,052,822x = 12,727,193,764,968,224
  5. Step 5: Solve for x
    x = 12,727,193,764,968,224/77,052,822
  6. Step 6: Final answer
    x = 165,174,920.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.