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Finding the Third Proportional to 1,007,139,846.52 and 2,167,334,701.03

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Solution

The third proportional to 1,007,139,846.52 and 2,167,334,701.03 is: 4,664,039,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,139,846.52 : 2,167,334,701.03 = 2,167,334,701.03 : x
  2. Step 2: Convert to fraction form
    1,007,139,846.52/2,167,334,701.03 = 2,167,334,701.03/x
  3. Step 3: Cross multiply
    1,007,139,846.52x = 2,167,334,701.03 × 2,167,334,701.03
  4. Step 4: Simplify right side
    1,007,139,846.52x = 4,697,339,706,294,000,640
  5. Step 5: Solve for x
    x = 4,697,339,706,294,000,640/1,007,139,846.52
  6. Step 6: Final answer
    x = 4,664,039,182.39

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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.