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Finding the Third Proportional to 826,249,900.50 and 1,814,819,285.25

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Solution

The third proportional to 826,249,900.50 and 1,814,819,285.25 is: 3,986,165,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,249,900.50 : 1,814,819,285.25 = 1,814,819,285.25 : x
  2. Step 2: Convert to fraction form
    826,249,900.50/1,814,819,285.25 = 1,814,819,285.25/x
  3. Step 3: Cross multiply
    826,249,900.50x = 1,814,819,285.25 × 1,814,819,285.25
  4. Step 4: Simplify right side
    826,249,900.50x = 3,293,569,038,115,320,832
  5. Step 5: Solve for x
    x = 3,293,569,038,115,320,832/826,249,900.50
  6. Step 6: Final answer
    x = 3,986,165,730.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.