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Finding the Third Proportional to 757,908,768.38 and 1,658,683,721.81

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Solution

The third proportional to 757,908,768.38 and 1,658,683,721.81 is: 3,630,030,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,908,768.38 : 1,658,683,721.81 = 1,658,683,721.81 : x
  2. Step 2: Convert to fraction form
    757,908,768.38/1,658,683,721.81 = 1,658,683,721.81/x
  3. Step 3: Cross multiply
    757,908,768.38x = 1,658,683,721.81 × 1,658,683,721.81
  4. Step 4: Simplify right side
    757,908,768.38x = 2,751,231,689,005,766,656
  5. Step 5: Solve for x
    x = 2,751,231,689,005,766,656/757,908,768.38
  6. Step 6: Final answer
    x = 3,630,030,161.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.