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Finding the Third Proportional to 776,255,238 and 1,683,484,442

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Solution

The third proportional to 776,255,238 and 1,683,484,442 is: 3,651,015,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,255,238 : 1,683,484,442 = 1,683,484,442 : x
  2. Step 2: Convert to fraction form
    776,255,238/1,683,484,442 = 1,683,484,442/x
  3. Step 3: Cross multiply
    776,255,238x = 1,683,484,442 × 1,683,484,442
  4. Step 4: Simplify right side
    776,255,238x = 2,834,119,866,456,051,200
  5. Step 5: Solve for x
    x = 2,834,119,866,456,051,200/776,255,238
  6. Step 6: Final answer
    x = 3,651,015,449.19

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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.