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Finding the Third Proportional to 472,661,595 and 759,435,628.50

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Solution

The third proportional to 472,661,595 and 759,435,628.50 is: 1,220,201,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,661,595 : 759,435,628.50 = 759,435,628.50 : x
  2. Step 2: Convert to fraction form
    472,661,595/759,435,628.50 = 759,435,628.50/x
  3. Step 3: Cross multiply
    472,661,595x = 759,435,628.50 × 759,435,628.50
  4. Step 4: Simplify right side
    472,661,595x = 576,742,473,835,190,016
  5. Step 5: Solve for x
    x = 576,742,473,835,190,016/472,661,595
  6. Step 6: Final answer
    x = 1,220,201,683.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.