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Finding the Third Proportional to 1,007,139,969 and 2,167,334,986.50

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Solution

The third proportional to 1,007,139,969 and 2,167,334,986.50 is: 4,664,039,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,139,969 : 2,167,334,986.50 = 2,167,334,986.50 : x
  2. Step 2: Convert to fraction form
    1,007,139,969/2,167,334,986.50 = 2,167,334,986.50/x
  3. Step 3: Cross multiply
    1,007,139,969x = 2,167,334,986.50 × 2,167,334,986.50
  4. Step 4: Simplify right side
    1,007,139,969x = 4,697,340,943,706,954,752
  5. Step 5: Solve for x
    x = 4,697,340,943,706,954,752/1,007,139,969
  6. Step 6: Final answer
    x = 4,664,039,843.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.