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Finding the Third Proportional to 5,617,527,647.50 and 8,263,402,414.50

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Solution

The third proportional to 5,617,527,647.50 and 8,263,402,414.50 is: 12,155,493,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617,527,647.50 : 8,263,402,414.50 = 8,263,402,414.50 : x
  2. Step 2: Convert to fraction form
    5,617,527,647.50/8,263,402,414.50 = 8,263,402,414.50/x
  3. Step 3: Cross multiply
    5,617,527,647.50x = 8,263,402,414.50 × 8,263,402,414.50
  4. Step 4: Simplify right side
    5,617,527,647.50x = 68,283,819,463,964,426,240
  5. Step 5: Solve for x
    x = 68,283,819,463,964,426,240/5,617,527,647.50
  6. Step 6: Final answer
    x = 12,155,493,261.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.