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Finding the Third Proportional to 682,271,634 and 1,048,052,683.50

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Solution

The third proportional to 682,271,634 and 1,048,052,683.50 is: 1,609,937,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,271,634 : 1,048,052,683.50 = 1,048,052,683.50 : x
  2. Step 2: Convert to fraction form
    682,271,634/1,048,052,683.50 = 1,048,052,683.50/x
  3. Step 3: Cross multiply
    682,271,634x = 1,048,052,683.50 × 1,048,052,683.50
  4. Step 4: Simplify right side
    682,271,634x = 1,098,414,427,391,551,232
  5. Step 5: Solve for x
    x = 1,098,414,427,391,551,232/682,271,634
  6. Step 6: Final answer
    x = 1,609,937,116.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.