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Finding the Third Proportional to 1,402,948,485 and 1,961,404,679.25

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Solution

The third proportional to 1,402,948,485 and 1,961,404,679.25 is: 2,742,159,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,948,485 : 1,961,404,679.25 = 1,961,404,679.25 : x
  2. Step 2: Convert to fraction form
    1,402,948,485/1,961,404,679.25 = 1,961,404,679.25/x
  3. Step 3: Cross multiply
    1,402,948,485x = 1,961,404,679.25 × 1,961,404,679.25
  4. Step 4: Simplify right side
    1,402,948,485x = 3,847,108,315,783,795,200
  5. Step 5: Solve for x
    x = 3,847,108,315,783,795,200/1,402,948,485
  6. Step 6: Final answer
    x = 2,742,159,357.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.