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Finding the Third Proportional to 796,472,202.81 and 1,249,429,865.25

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Solution

The third proportional to 796,472,202.81 and 1,249,429,865.25 is: 1,959,986,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,472,202.81 : 1,249,429,865.25 = 1,249,429,865.25 : x
  2. Step 2: Convert to fraction form
    796,472,202.81/1,249,429,865.25 = 1,249,429,865.25/x
  3. Step 3: Cross multiply
    796,472,202.81x = 1,249,429,865.25 × 1,249,429,865.25
  4. Step 4: Simplify right side
    796,472,202.81x = 1,561,074,988,178,633,216
  5. Step 5: Solve for x
    x = 1,561,074,988,178,633,216/796,472,202.81
  6. Step 6: Final answer
    x = 1,959,986,780.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.