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Finding the Third Proportional to 1,258,622,718 and 1,974,407,652

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Solution

The third proportional to 1,258,622,718 and 1,974,407,652 is: 3,097,263,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,622,718 : 1,974,407,652 = 1,974,407,652 : x
  2. Step 2: Convert to fraction form
    1,258,622,718/1,974,407,652 = 1,974,407,652/x
  3. Step 3: Cross multiply
    1,258,622,718x = 1,974,407,652 × 1,974,407,652
  4. Step 4: Simplify right side
    1,258,622,718x = 3,898,285,576,276,153,344
  5. Step 5: Solve for x
    x = 3,898,285,576,276,153,344/1,258,622,718
  6. Step 6: Final answer
    x = 3,097,263,000.68

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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.